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76237980 = 223571313963
BaseRepresentation
bin1001000101101…
…00110010011100
312022110021211220
410202310302130
5124004103410
611322013340
71614004110
oct442646234
9168407756
1076237980
113a0417a5
1221647250
1312a43c40
14a1a7740
156a5e070
hex48b4c9c

76237980 has 96 divisors (see below), whose sum is σ = 262746624. Its totient is φ = 16084224.

The previous prime is 76237969. The next prime is 76237981. The reversal of 76237980 is 8973267.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76237981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1522 + ... + 12441.

It is an arithmetic number, because the mean of its divisors is an integer number (2736944).

Almost surely, 276237980 is an apocalyptic number.

76237980 is a gapful number since it is divisible by the number (70) 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 76237980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131373312).

76237980 is an abundant number, since it is smaller than the sum of its proper divisors (186508644).

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

76237980 is a wasteful number, since it uses less digits than its factorization.

76237980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13995 (or 13993 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 76237980 is about 8731.4363079622. The cubic root of 76237980 is about 424.0240211263.

The spelling of 76237980 in words is "seventy-six million, two hundred thirty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 13963 27926 41889 55852 69815 83778 97741 139630 167556 181519 195482 209445 279260 293223 363038 390964 418890 488705 544557 586446 726076 837780 907595 977410 1089114 1172892 1270633 1466115 1815190 1954820 2178228 2541266 2722785 2932230 3630380 3811899 5082532 5445570 5864460 6353165 7623798 10891140 12706330 15247596 19059495 25412660 38118990 76237980