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76531980 = 22357473877
BaseRepresentation
bin1001000111111…
…00100100001100
312100000020010210
410203330210030
5124043010410
611332202420
71616340210
oct443744414
9170006123
1076531980
113a222678
1221769410
1312b179c5
14a242940
156abb220
hex48fc90c

76531980 has 96 divisors (see below), whose sum is σ = 250177536. Its totient is φ = 17116416.

The previous prime is 76531969. The next prime is 76531991. The reversal of 76531980 is 8913567.

It is an interprime number because it is at equal distance from previous prime (76531969) and next prime (76531991).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17802 + ... + 21678.

It is an arithmetic number, because the mean of its divisors is an integer number (2606016).

Almost surely, 276531980 is an apocalyptic number.

76531980 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 76531980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125088768).

76531980 is an abundant number, since it is smaller than the sum of its proper divisors (173645556).

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

76531980 is a wasteful number, since it uses less digits than its factorization.

76531980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3943 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 76531980 is about 8748.2558261633. The cubic root of 76531980 is about 424.5683830340.

The spelling of 76531980 in words is "seventy-six million, five hundred thirty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 47 60 70 84 94 105 140 141 188 210 235 282 329 420 470 564 658 705 940 987 1316 1410 1645 1974 2820 3290 3877 3948 4935 6580 7754 9870 11631 15508 19385 19740 23262 27139 38770 46524 54278 58155 77540 81417 108556 116310 135695 162834 182219 232620 271390 325668 364438 407085 542780 546657 728876 814170 911095 1093314 1275533 1628340 1822190 2186628 2551066 2733285 3644380 3826599 5102132 5466570 6377665 7653198 10933140 12755330 15306396 19132995 25510660 38265990 76531980