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103264960 = 2653131031
BaseRepresentation
bin1100010011110…
…11001011000000
321012022101220011
412021323023000
5202413434320
614125154304
72362511011
oct611731300
9235271804
10103264960
1153321547
122a6bb994
1318517936
14da01008
1590ec05a
hex627b2c0

103264960 has 56 divisors (see below), whose sum is σ = 246924576. Its totient is φ = 41134080.

The previous prime is 103264957. The next prime is 103264979. The reversal of 103264960 is 69462301.

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, 99645 + ... + 100675.

Almost surely, 2103264960 is an apocalyptic number.

103264960 is a gapful number since it is divisible by the number (10) 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 103264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123462288).

103264960 is an abundant number, since it is smaller than the sum of its proper divisors (143659616).

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

103264960 is a wasteful number, since it uses less digits than its factorization.

103264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 103264960 is about 10161.9368232636. The cubic root of 103264960 is about 469.1564164744.

The spelling of 103264960 in words is "one hundred three million, two hundred sixty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 313 320 626 1031 1252 1565 2062 2504 3130 4124 5008 5155 6260 8248 10016 10310 12520 16496 20032 20620 25040 32992 41240 50080 65984 82480 100160 164960 322703 329920 645406 1290812 1613515 2581624 3227030 5163248 6454060 10326496 12908120 20652992 25816240 51632480 103264960