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76020640 = 255617789
BaseRepresentation
bin1001000011111…
…11101110100000
312022001020201021
410201333232200
5123430130030
611313215224
71612110343
oct441775640
9168036637
1076020640
1139a03483
1221561514
1312999037
14a14c45a
156a1997a
hex487fba0

76020640 has 48 divisors (see below), whose sum is σ = 182566440. Its totient is φ = 29905920.

The previous prime is 76020631. The next prime is 76020647. The reversal of 76020640 is 4602067.

It can be written as a sum of positive squares in 4 ways, for example, as 42981136 + 33039504 = 6556^2 + 5748^2 .

It is not an unprimeable number, because it can be changed into a prime (76020647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5866 + ... + 13654.

Almost surely, 276020640 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 76020640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91283220).

76020640 is an abundant number, since it is smaller than the sum of its proper divisors (106545800).

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

76020640 is a wasteful number, since it uses less digits than its factorization.

76020640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7865 (or 7857 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 76020640 is about 8718.9815919062. The cubic root of 76020640 is about 423.6207003051.

Subtracting from 76020640 its sum of digits (25), we obtain a triangular number (76020615 = T12330).

The spelling of 76020640 in words is "seventy-six million, twenty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1952 2440 4880 7789 9760 15578 31156 38945 62312 77890 124624 155780 249248 311560 475129 623120 950258 1246240 1900516 2375645 3801032 4751290 7602064 9502580 15204128 19005160 38010320 76020640