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102955460 = 225373732
BaseRepresentation
bin1100010001011…
…11100111000100
321011201200100012
412020233213010
5202324033320
614114405352
72360051456
oct610574704
9234650305
10102955460
115312aa63
122a590858
1318439aba
14d9602d6
15908a4c5
hex622f9c4

102955460 has 36 divisors (see below), whose sum is σ = 222646788. Its totient is φ = 39961728.

The previous prime is 102955439. The next prime is 102955487. The reversal of 102955460 is 64559201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4072324 + 98883136 = 2018^2 + 9944^2 .

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 11 ways as a sum of consecutive naturals, for example, 275834 + ... + 276206.

It is an arithmetic number, because the mean of its divisors is an integer number (6184633).

Almost surely, 2102955460 is an apocalyptic number.

102955460 is a gapful number since it is divisible by the number (10) 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 102955460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111323394).

102955460 is an abundant number, since it is smaller than the sum of its proper divisors (119691328).

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

102955460 is an equidigital number, since it uses as much as digits as its factorization.

102955460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 102955460 is about 10146.6969995166. The cubic root of 102955460 is about 468.6872375821.

The spelling of 102955460 in words is "one hundred two million, nine hundred fifty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 373 740 746 1492 1865 3730 7460 13801 27602 55204 69005 138010 139129 276020 278258 556516 695645 1391290 2782580 5147773 10295546 20591092 25738865 51477730 102955460