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102941856 = 2532357437
BaseRepresentation
bin1100010001011…
…00010010100000
321011200222200100
412020230102200
5202323114411
614114222400
72356664013
oct610542240
9234628610
10102941856
1153120816
122a584a00
1318433854
14d95937a
159086456
hex622c4a0

102941856 has 36 divisors (see below), whose sum is σ = 292741722. Its totient is φ = 34313856.

The previous prime is 102941849. The next prime is 102941863. The reversal of 102941856 is 658149201.

It is an interprime number because it is at equal distance from previous prime (102941849) and next prime (102941863).

It can be written as a sum of positive squares in only one way, i.e., 102333456 + 608400 = 10116^2 + 780^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 102941856.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 178431 + ... + 179006.

Almost surely, 2102941856 is an apocalyptic number.

102941856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102941856 is an abundant number, since it is smaller than the sum of its proper divisors (189799866).

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

102941856 is a wasteful number, since it uses less digits than its factorization.

102941856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357453 (or 357442 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 102941856 is about 10146.0266114376. The cubic root of 102941856 is about 468.6665933733. Note that the first 3 decimals are identical.

The spelling of 102941856 in words is "one hundred two million, nine hundred forty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 357437 714874 1072311 1429748 2144622 2859496 3216933 4289244 5718992 6433866 8578488 11437984 12867732 17156976 25735464 34313952 51470928 102941856