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76106144 = 2517139901
BaseRepresentation
bin1001000100101…
…00100110100000
312022012121000002
410202110212200
5123440344034
611315115132
71612614542
oct442244640
9168177002
1076106144
1139a61744
12215a2aa8
13129c8c2a
14a171692
156a34e7e
hex48949a0

76106144 has 24 divisors (see below), whose sum is σ = 158648868. Its totient is φ = 35814400.

The previous prime is 76106143. The next prime is 76106159. The reversal of 76106144 is 44160167.

It can be written as a sum of positive squares in 2 ways, for example, as 56851600 + 19254544 = 7540^2 + 4388^2 .

It is not an unprimeable number, because it can be changed into a prime (76106141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69407 + ... + 70494.

Almost surely, 276106144 is an apocalyptic number.

It is an amenable number.

76106144 is an abundant number, since it is smaller than the sum of its proper divisors (82542724).

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

76106144 is a wasteful number, since it uses less digits than its factorization.

76106144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139928 (or 139920 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 76106144 is about 8723.8835388834. The cubic root of 76106144 is about 423.7794628592.

The spelling of 76106144 in words is "seventy-six million, one hundred six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 139901 279802 559604 1119208 2238416 2378317 4476832 4756634 9513268 19026536 38053072 76106144