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107933440 = 285374353
BaseRepresentation
bin1100110111011…
…10111100000000
321112002120211211
412123232330000
5210112332230
614413215504
72450263516
oct633567400
9245076754
10107933440
1155a1aa9a
1230191594
1319490854
14104984b6
15972042a
hex66eef00

107933440 has 144 divisors (see below), whose sum is σ = 276823008. Its totient is φ = 40255488.

The previous prime is 107933437. The next prime is 107933453. The reversal of 107933440 is 44339701.

It is a congruent number.

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, 2036454 + ... + 2036506.

It is an arithmetic number, because the mean of its divisors is an integer number (1922382).

Almost surely, 2107933440 is an apocalyptic number.

107933440 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 107933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138411504).

107933440 is an abundant number, since it is smaller than the sum of its proper divisors (168889568).

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

107933440 is an equidigital number, since it uses as much as digits as its factorization.

107933440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 107933440 is about 10389.1019823659. The cubic root of 107933440 is about 476.1224645471.

The spelling of 107933440 in words is "one hundred seven million, nine hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 43 53 64 74 80 86 106 128 148 160 172 185 212 215 256 265 296 320 344 370 424 430 530 592 640 688 740 848 860 1060 1184 1280 1376 1480 1591 1696 1720 1961 2120 2279 2368 2752 2960 3182 3392 3440 3922 4240 4558 4736 5504 5920 6364 6784 6880 7844 7955 8480 9116 9472 9805 11008 11395 11840 12728 13568 13760 15688 15910 16960 18232 19610 22790 23680 25456 27520 31376 31820 33920 36464 39220 45580 47360 50912 55040 62752 63640 67840 72928 78440 84323 91160 101824 125504 127280 145856 156880 168646 182320 203648 251008 254560 291712 313760 337292 364640 407296 421615 502016 509120 583424 627520 674584 729280 843230 1018240 1255040 1349168 1458560 1686460 2036480 2510080 2698336 2917120 3372920 5396672 6745840 10793344 13491680 21586688 26983360 53966720 107933440