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103438272 = 263776963
BaseRepresentation
bin1100010101001…
…01011111000000
321012122012122010
412022211133000
5202440011042
614133012520
72364132210
oct612453700
9235565563
10103438272
115342a783
122a784140
13185787a2
14da48240
15913359c
hex62a57c0

103438272 has 56 divisors (see below), whose sum is σ = 312781696. Its totient is φ = 29553408.

The previous prime is 103438259. The next prime is 103438303. The reversal of 103438272 is 272834301.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1034382722 = 21398952228691968, which contains 22 as substring.

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, 37138 + ... + 39825.

Almost surely, 2103438272 is an apocalyptic number.

103438272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103438272 is an abundant number, since it is smaller than the sum of its proper divisors (209343424).

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

103438272 is an equidigital number, since it uses as much as digits as its factorization.

103438272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76985 (or 76975 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 103438272 is about 10170.4607565243. The cubic root of 103438272 is about 469.4187351764.

The spelling of 103438272 in words is "one hundred three million, four hundred thirty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 76963 153926 230889 307852 461778 538741 615704 923556 1077482 1231408 1616223 1847112 2154964 2462816 3232446 3694224 4309928 4925632 6464892 7388448 8619856 12929784 14776896 17239712 25859568 34479424 51719136 103438272