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3780089460 = 2232573781083
BaseRepresentation
bin1110000101001111…
…1001011001110100
3100202102220102220100
43201103321121310
530220200330320
61423032234100
7162450141660
oct34123713164
910672812810
103780089460
11166a842184
12895b3b930
134831b5934
1427c06b8a0
15171cd6790
hexe14f9674

3780089460 has 144 divisors (see below), whose sum is σ = 13458646656. Its totient is φ = 840658176.

The previous prime is 3780089441. The next prime is 3780089461. The reversal of 3780089460 is 649800873.

It is a happy number.

3780089460 is a `hidden beast` number, since 37 + 80 + 0 + 89 + 460 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3780089461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6079 + ... + 87161.

It is an arithmetic number, because the mean of its divisors is an integer number (93462824).

Almost surely, 23780089460 is an apocalyptic number.

3780089460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3780089460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6729323328).

3780089460 is an abundant number, since it is smaller than the sum of its proper divisors (9678557196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3780089460 is a wasteful number, since it uses less digits than its factorization.

3780089460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81142 (or 81137 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3780089460 is about 61482.4321249575. The cubic root of 3780089460 is about 1557.7605193611.

It can be divided in two parts, 37800 and 89460, that added together give a triangular number (127260 = T504).

The spelling of 3780089460 in words is "three billion, seven hundred eighty million, eighty-nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 37 42 45 60 63 70 74 84 90 105 111 126 140 148 180 185 210 222 252 259 315 333 370 420 444 518 555 630 666 740 777 1036 1110 1260 1295 1332 1554 1665 2220 2331 2590 3108 3330 3885 4662 5180 6660 7770 9324 11655 15540 23310 46620 81083 162166 243249 324332 405415 486498 567581 729747 810830 972996 1135162 1216245 1459494 1621660 1702743 2270324 2432490 2837905 2918988 3000071 3405486 3648735 4864980 5108229 5675810 6000142 6810972 7297470 8513715 9000213 10216458 11351620 12000284 14594940 15000355 17027430 18000426 20432916 21000497 25541145 27000639 30000710 34054860 36000852 42000994 45001065 51082290 54001278 60001420 63001491 84001988 90002130 102164580 105002485 108002556 126002982 135003195 180004260 189004473 210004970 252005964 270006390 315007455 378008946 420009940 540012780 630014910 756017892 945022365 1260029820 1890044730 3780089460