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76923080 = 23513295101
BaseRepresentation
bin1001001010111…
…00000011001000
312100202002121222
410211130003020
5124143014310
611344421212
71622556353
oct445340310
9170662558
1076923080
113a46a4a3
1221917808
1312c23a20
14a30529a
156b47055
hex495c0c8

76923080 has 64 divisors (see below), whose sum is σ = 192855600. Its totient is φ = 27417600.

The previous prime is 76923071. The next prime is 76923101. The reversal of 76923080 is 8032967.

It can be written as a sum of positive squares in 8 ways, for example, as 1684804 + 75238276 = 1298^2 + 8674^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 76923080.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12530 + ... + 17630.

Almost surely, 276923080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76923080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96427800).

76923080 is an abundant number, since it is smaller than the sum of its proper divisors (115932520).

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

76923080 is a wasteful number, since it uses less digits than its factorization.

76923080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5154 (or 5150 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 76923080 is about 8770.5803684819. The cubic root of 76923080 is about 425.2903759535.

The spelling of 76923080 in words is "seventy-six million, nine hundred twenty-three thousand, eighty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 232 260 290 377 520 580 754 1160 1508 1885 3016 3770 5101 7540 10202 15080 20404 25505 40808 51010 66313 102020 132626 147929 204040 265252 295858 331565 530504 591716 663130 739645 1183432 1326260 1479290 1923077 2652520 2958580 3846154 5917160 7692308 9615385 15384616 19230770 38461540 76923080