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103790920 = 23519373691
BaseRepresentation
bin1100010111110…
…11100101001000
321020022010101011
412023323211020
5203032302140
614144333304
72400131302
oct613734510
9236263334
10103790920
1153650722
122a914234
131867015c
14dada972
1591a2cea
hex62fb948

103790920 has 64 divisors (see below), whose sum is σ = 252532800. Its totient is φ = 38257920.

The previous prime is 103790917. The next prime is 103790989. The reversal of 103790920 is 29097301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26275 + ... + 29965.

It is an arithmetic number, because the mean of its divisors is an integer number (3945825).

Almost surely, 2103790920 is an apocalyptic number.

103790920 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 103790920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126266400).

103790920 is an abundant number, since it is smaller than the sum of its proper divisors (148741880).

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

103790920 is a wasteful number, since it uses less digits than its factorization.

103790920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758 (or 3754 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 31.

The square root of 103790920 is about 10187.7828795082. The cubic root of 103790920 is about 469.9515869856.

The spelling of 103790920 in words is "one hundred three million, seven hundred ninety thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 37 38 40 74 76 95 148 152 185 190 296 370 380 703 740 760 1406 1480 2812 3515 3691 5624 7030 7382 14060 14764 18455 28120 29528 36910 70129 73820 136567 140258 147640 273134 280516 350645 546268 561032 682835 701290 1092536 1365670 1402580 2594773 2731340 2805160 5189546 5462680 10379092 12973865 20758184 25947730 51895460 103790920