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103255296 = 283314337
BaseRepresentation
bin1100010011110…
…00110100000000
321012021220122020
412021320310000
5202413132141
614125041440
72362440564
oct611706400
9235256566
10103255296
1153315261
122a6b6280
1318513411
14d9db6a4
1590e9266
hex6278d00

103255296 has 72 divisors (see below), whose sum is σ = 283739904. Its totient is φ = 33300480.

The previous prime is 103255279. The next prime is 103255301. The reversal of 103255296 is 692552301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21640 + ... + 25976.

It is an arithmetic number, because the mean of its divisors is an integer number (3940832).

Almost surely, 2103255296 is an apocalyptic number.

103255296 is a gapful number since it is divisible by the number (16) 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 103255296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141869952).

103255296 is an abundant number, since it is smaller than the sum of its proper divisors (180484608).

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

103255296 is an equidigital number, since it uses as much as digits as its factorization.

103255296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4387 (or 4373 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 103255296 is about 10161.4613122326. The cubic root of 103255296 is about 469.1417807610.

The spelling of 103255296 in words is "one hundred three million, two hundred fifty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1984 2976 3968 4337 5952 7936 8674 11904 13011 17348 23808 26022 34696 52044 69392 104088 134447 138784 208176 268894 277568 403341 416352 537788 555136 806682 832704 1075576 1110272 1613364 1665408 2151152 3226728 3330816 4302304 6453456 8604608 12906912 17209216 25813824 34418432 51627648 103255296