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103937920 = 275232307
BaseRepresentation
bin1100011000111…
…11011110000000
321020120121000121
412030133132000
5203102003140
614151430024
72401313002
oct614373600
9236517017
10103937920
1153741109
122a985314
13186c2038
14db38372
1591d164a
hex631f780

103937920 has 96 divisors (see below), whose sum is σ = 260595720. Its totient is φ = 39638016.

The previous prime is 103937909. The next prime is 103937959. The reversal of 103937920 is 29739301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 338407 + ... + 338713.

Almost surely, 2103937920 is an apocalyptic number.

103937920 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 103937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130297860).

103937920 is an abundant number, since it is smaller than the sum of its proper divisors (156657800).

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

103937920 is an equidigital number, since it uses as much as digits as its factorization.

103937920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 34.

The square root of 103937920 is about 10194.9948504156. The cubic root of 103937920 is about 470.1733478573.

The spelling of 103937920 in words is "one hundred three million, nine hundred thirty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 307 320 368 460 529 614 640 736 920 1058 1228 1472 1535 1840 2116 2456 2645 2944 3070 3680 4232 4912 5290 6140 7061 7360 8464 9824 10580 12280 14122 14720 16928 19648 21160 24560 28244 33856 35305 39296 42320 49120 56488 67712 70610 84640 98240 112976 141220 162403 169280 196480 225952 282440 324806 338560 451904 564880 649612 812015 903808 1129760 1299224 1624030 2259520 2598448 3248060 4519040 5196896 6496120 10393792 12992240 20787584 25984480 51968960 103937920