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76105036 = 2272974003
BaseRepresentation
bin1001000100101…
…00010101001100
312022012112111001
410202110111030
5123440330121
611315110044
71612611400
oct442242514
9168175431
1076105036
1139a60927
12215a2324
13129c8587
14a171100
156a34991
hex489454c

76105036 has 36 divisors (see below), whose sum is σ = 156564408. Its totient is φ = 32272128.

The previous prime is 76105033. The next prime is 76105037. The reversal of 76105036 is 63050167.

It is a super-2 number, since 2×761050362 = 11583953009122592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 76104995 and 76105013.

It is not an unprimeable number, because it can be changed into a prime (76105033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17011 + ... + 21013.

Almost surely, 276105036 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 76105036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78282204).

76105036 is an abundant number, since it is smaller than the sum of its proper divisors (80459372).

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

76105036 is a wasteful number, since it uses less digits than its factorization.

76105036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4118 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 76105036 is about 8723.8200348242. The cubic root of 76105036 is about 423.7774063020. Note that the first 3 decimals are identical.

The spelling of 76105036 in words is "seventy-six million, one hundred five thousand, thirty-six".

Divisors: 1 2 4 7 14 28 49 97 98 194 196 388 679 1358 2716 4003 4753 8006 9506 16012 19012 28021 56042 112084 196147 388291 392294 776582 784588 1553164 2718037 5436074 10872148 19026259 38052518 76105036