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75860680 = 2357270931
BaseRepresentation
bin1001000010110…
…00101011001000
312021202010021211
410201120223020
5123410020210
611305542504
71610543110
oct441305310
9167663254
1075860680
1139904285
12214a4a34
131294129c
14a10a040
1569d738a
hex4858ac8

75860680 has 32 divisors (see below), whose sum is σ = 195071040. Its totient is φ = 26009280.

The previous prime is 75860677. The next prime is 75860699. The reversal of 75860680 is 8606857.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135186 + ... + 135745.

It is an arithmetic number, because the mean of its divisors is an integer number (6095970).

Almost surely, 275860680 is an apocalyptic number.

75860680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75860680 is an abundant number, since it is smaller than the sum of its proper divisors (119210360).

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

75860680 is a wasteful number, since it uses less digits than its factorization.

75860680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270949 (or 270945 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 75860680 is about 8709.8036717253. The cubic root of 75860680 is about 423.3233689900.

The spelling of 75860680 in words is "seventy-five million, eight hundred sixty thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 270931 541862 1083724 1354655 1896517 2167448 2709310 3793034 5418620 7586068 9482585 10837240 15172136 18965170 37930340 75860680