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76025040 = 2435713592
BaseRepresentation
bin1001000100000…
…00110011010000
312022001110202020
410202000303100
5123430300130
611313251440
71612126230
oct442006320
9168043666
1076025040
1139a06813
1221563b80
131299b040
14a14dcc0
156a1ae10
hex4880cd0

76025040 has 240 divisors, whose sum is σ = 295064448. Its totient is φ = 15768576.

The previous prime is 76025017. The next prime is 76025041. The reversal of 76025040 is 4052067.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 76025040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76025041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1288531 + ... + 1288589.

Almost surely, 276025040 is an apocalyptic number.

76025040 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 76025040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147532224).

76025040 is an abundant number, since it is smaller than the sum of its proper divisors (219039408).

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

76025040 is a wasteful number, since it uses less digits than its factorization.

76025040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 76025040 is about 8719.2339113021. The cubic root of 76025040 is about 423.6288730641.

The spelling of 76025040 in words is "seventy-six million, twenty-five thousand, forty".