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102427080 = 23357121937
BaseRepresentation
bin1100001101011…
…10100111001000
321010201211112120
412012232213020
5202210131310
614055211240
72352421140
oct606564710
9233654476
10102427080
11528a9a88
122a376b20
13182b3452
14d863920
158ed3b70
hex61ae9c8

102427080 has 64 divisors (see below), whose sum is σ = 351181440. Its totient is φ = 23411712.

The previous prime is 102427067. The next prime is 102427123. The reversal of 102427080 is 80724201.

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 102427080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60129 + ... + 61808.

It is an arithmetic number, because the mean of its divisors is an integer number (5487210).

Almost surely, 2102427080 is an apocalyptic number.

102427080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102427080 is an abundant number, since it is smaller than the sum of its proper divisors (248754360).

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

102427080 is a wasteful number, since it uses less digits than its factorization.

102427080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121958 (or 121954 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 102427080 is about 10120.6264628233. The cubic root of 102427080 is about 467.8840753127.

The spelling of 102427080 in words is "one hundred two million, four hundred twenty-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 121937 243874 365811 487748 609685 731622 853559 975496 1219370 1463244 1707118 1829055 2438740 2560677 2926488 3414236 3658110 4267795 4877480 5121354 6828472 7316220 8535590 10242708 12803385 14632440 17071180 20485416 25606770 34142360 51213540 102427080