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180745740 = 223257373877
BaseRepresentation
bin10101100010111…
…11011000001100
3110121002211112200
422301133120030
5332232330430
625534001500
74323212340
oct1261373014
9417084480
10180745740
1193031a4a
1250646290
132b5a5456
141a00d620
1510d04460
hexac5f60c

180745740 has 144 divisors (see below), whose sum is σ = 643685952. Its totient is φ = 40186368.

The previous prime is 180745711. The next prime is 180745769. The reversal of 180745740 is 47547081.

180745740 is a `hidden beast` number, since 1 + 80 + 7 + 4 + 574 + 0 = 666.

180745740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (180745711) and next prime (180745769).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 180745695 and 180745704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44682 + ... + 48558.

Almost surely, 2180745740 is an apocalyptic number.

180745740 is a gapful number since it is divisible by the number (10) 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 180745740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321842976).

180745740 is an abundant number, since it is smaller than the sum of its proper divisors (462940212).

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

180745740 is a wasteful number, since it uses less digits than its factorization.

180745740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3936 (or 3931 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 180745740 is about 13444.1712277105. The cubic root of 180745740 is about 565.4002854295.

The spelling of 180745740 in words is "one hundred eighty million, seven hundred forty-five thousand, seven hundred forty".

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 3877 3885 4662 5180 6660 7754 7770 9324 11631 11655 15508 15540 19385 23262 23310 27139 34893 38770 46524 46620 54278 58155 69786 77540 81417 108556 116310 135695 139572 143449 162834 174465 232620 244251 271390 286898 325668 348930 407085 430347 488502 542780 573796 697860 717245 814170 860694 977004 1004143 1221255 1291041 1434490 1628340 1721388 2008286 2151735 2442510 2582082 2868980 3012429 4016572 4303470 4885020 5020715 5164164 6024858 6455205 8606940 9037287 10041430 12049716 12910410 15062145 18074574 20082860 25820820 30124290 36149148 45186435 60248580 90372870 180745740