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103713856 = 26192672
BaseRepresentation
bin1100010111010…
…00110001000000
321020011012122221
412023220301000
5203022320411
614142540424
72366360521
oct613506100
9236135587
10103713856
11535a8834
122a897714
131864405c
14daba848
15918a071
hex62e8c40

103713856 has 63 divisors (see below), whose sum is σ = 220499559. Its totient is φ = 48394368.

The previous prime is 103713839. The next prime is 103713881. The reversal of 103713856 is 658317301.

The square root of 103713856 is 10184.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1547935 + ... + 1548001.

It is an arithmetic number, because the mean of its divisors is an integer number (3499993).

Almost surely, 2103713856 is an apocalyptic number.

103713856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

103713856 is the 10184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103713856

103713856 is an abundant number, since it is smaller than the sum of its proper divisors (116785703).

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

103713856 is an frugal number, since it uses more digits than its factorization.

103713856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The cubic root of 103713856 is about 469.8352463132.

The spelling of 103713856 in words is "one hundred three million, seven hundred thirteen thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 19 32 38 64 67 76 134 152 268 304 361 536 608 722 1072 1216 1273 1444 2144 2546 2888 4288 4489 5092 5776 8978 10184 11552 17956 20368 23104 24187 35912 40736 48374 71824 81472 85291 96748 143648 170582 193496 287296 341164 386992 682328 773984 1364656 1547968 1620529 2729312 3241058 5458624 6482116 12964232 25928464 51856928 103713856