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102060960 = 2535212627
BaseRepresentation
bin1100001010101…
…01001110100000
321010001020022120
412011111032200
5202111422320
614043304240
72346334551
oct605251640
9233036276
10102060960
1152679a01
122a21b080
13181b5901
14d7aa328
158e60440
hex61553a0

102060960 has 48 divisors (see below), whose sum is σ = 321493536. Its totient is φ = 27216128.

The previous prime is 102060953. The next prime is 102060971. The reversal of 102060960 is 69060201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1020609602 = 20832879112243200, which contains 22 as substring.

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 102060960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105834 + ... + 106793.

It is an arithmetic number, because the mean of its divisors is an integer number (6697782).

Almost surely, 2102060960 is an apocalyptic number.

102060960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102060960 is an abundant number, since it is smaller than the sum of its proper divisors (219432576).

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

102060960 is a wasteful number, since it uses less digits than its factorization.

102060960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212645 (or 212637 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 102060960 is about 10102.5224572876. The cubic root of 102060960 is about 467.3259344161.

The spelling of 102060960 in words is "one hundred two million, sixty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 212627 425254 637881 850508 1063135 1275762 1701016 2126270 2551524 3189405 3402032 4252540 5103048 6378810 6804064 8505080 10206096 12757620 17010160 20412192 25515240 34020320 51030480 102060960