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107922240 = 2633512491
BaseRepresentation
bin1100110111011…
…00001101000000
321112002000111000
412123230031000
5210112002430
614413052000
72450216046
oct633541500
9245060430
10107922240
1155a12638
1230187000
131948871a
1410494396
15971be60
hex66ec340

107922240 has 112 divisors (see below), whose sum is σ = 380756160. Its totient is φ = 28776960.

The previous prime is 107922197. The next prime is 107922263. The reversal of 107922240 is 42229701.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2395 + ... + 14885.

Almost surely, 2107922240 is an apocalyptic number.

107922240 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 107922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190378080).

107922240 is an abundant number, since it is smaller than the sum of its proper divisors (272833920).

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

107922240 is a wasteful number, since it uses less digits than its factorization.

107922240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12517 (or 12501 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 107922240 is about 10388.5629420050. The cubic root of 107922240 is about 476.1059952735.

The spelling of 107922240 in words is "one hundred seven million, nine hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 12491 24982 37473 49964 62455 74946 99928 112419 124910 149892 187365 199856 224838 249820 299784 337257 374730 399712 449676 499640 562095 599568 674514 749460 799424 899352 999280 1124190 1199136 1349028 1498920 1686285 1798704 1998560 2248380 2398272 2698056 2997840 3372570 3597408 3997120 4496760 5396112 5995680 6745140 7194816 8993520 10792224 11991360 13490280 17987040 21584448 26980560 35974080 53961120 107922240