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103120864 = 2571141851
BaseRepresentation
bin1100010010101…
…11111111100000
321012001002020021
412021113333200
5202344331424
614122123224
72361340630
oct611277740
9235032207
10103120864
1153233260
122a650514
1318497182
14d9a46c0
1590be4e4
hex6257fe0

103120864 has 48 divisors (see below), whose sum is σ = 253120896. Its totient is φ = 40176000.

The previous prime is 103120841. The next prime is 103120873. The reversal of 103120864 is 468021301.

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, 18462 + ... + 23389.

It is an arithmetic number, because the mean of its divisors is an integer number (5273352).

Almost surely, 2103120864 is an apocalyptic number.

103120864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103120864 is an abundant number, since it is smaller than the sum of its proper divisors (150000032).

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

103120864 is a wasteful number, since it uses less digits than its factorization.

103120864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41879 (or 41871 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 103120864 is about 10154.8443611904. The cubic root of 103120864 is about 468.9380944928.

The spelling of 103120864 in words is "one hundred three million, one hundred twenty thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 41851 83702 167404 292957 334808 460361 585914 669616 920722 1171828 1339232 1841444 2343656 3222527 3682888 4687312 6445054 7365776 9374624 12890108 14731552 25780216 51560432 103120864