Search a number
-
+
1405644030 = 234571731433
BaseRepresentation
bin101001111001000…
…0110110011111110
310121221222010010000
41103302012303332
510334321102110
6351251455130
746555530360
oct12362066376
93557863100
101405644030
116614a418a
123328b74a6
131952a673b
14d4980d30
158360c1c0
hex53c86cfe

1405644030 has 160 divisors (see below), whose sum is σ = 4347566784. Its totient is φ = 319209984.

The previous prime is 1405643999. The next prime is 1405644059. The reversal of 1405644030 is 304465041.

1405644030 is a `hidden beast` number, since 14 + 0 + 5 + 644 + 0 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1405643985 and 1405644003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 980194 + ... + 981626.

Almost surely, 21405644030 is an apocalyptic number.

1405644030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1405644030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2173783392).

1405644030 is an abundant number, since it is smaller than the sum of its proper divisors (2941922754).

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

1405644030 is a wasteful number, since it uses less digits than its factorization.

1405644030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1405644030 is about 37491.9195294133. The cubic root of 1405644030 is about 1120.1902392622.

The spelling of 1405644030 in words is "one billion, four hundred five million, six hundred forty-four thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 173 189 210 270 315 346 378 405 519 567 630 810 865 945 1038 1134 1211 1433 1557 1730 1890 2422 2595 2835 2866 3114 3633 4299 4671 5190 5670 6055 7165 7266 7785 8598 9342 10031 10899 12110 12897 14013 14330 15570 18165 20062 21495 21798 23355 25794 28026 30093 32697 36330 38691 42990 46710 50155 54495 60186 64485 65394 70065 77382 90279 98091 100310 108990 116073 128970 140130 150465 163485 180558 193455 196182 232146 247909 270837 300930 326970 386910 451395 490455 495818 541674 580365 743727 812511 902790 980910 1160730 1239545 1354185 1487454 1625022 1735363 2231181 2479090 2708370 3470726 3718635 4062555 4462362 5206089 6693543 7437270 8125110 8676815 10412178 11155905 13387086 15618267 17353630 20080629 22311810 26030445 31236534 33467715 40161258 46854801 52060890 66935430 78091335 93709602 100403145 140564403 156182670 200806290 234274005 281128806 468548010 702822015 1405644030