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107794944 = 2932149157
BaseRepresentation
bin1100110110011…
…01001000000000
321111211112212100
412123031020000
5210043414234
614410230400
72446145655
oct633151000
9244745770
10107794944
1155935a34
1230125400
13194427ba
141045dc2c
1596e4399
hex66cd200

107794944 has 120 divisors (see below), whose sum is σ = 315186300. Its totient is φ = 35463168.

The previous prime is 107794927. The next prime is 107794957. The reversal of 107794944 is 449497701.

It can be written as a sum of positive squares in 2 ways, for example, as 96825600 + 10969344 = 9840^2 + 3312^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 107794944.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 686514 + ... + 686670.

Almost surely, 2107794944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107794944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157593150).

107794944 is an abundant number, since it is smaller than the sum of its proper divisors (207391356).

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

107794944 is a wasteful number, since it uses less digits than its factorization.

107794944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 107794944 is about 10382.4343966143. The cubic root of 107794944 is about 475.9187300933.

The spelling of 107794944 in words is "one hundred seven million, seven hundred ninety-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 149 157 192 256 288 298 314 384 447 471 512 576 596 628 768 894 942 1152 1192 1256 1341 1413 1536 1788 1884 2304 2384 2512 2682 2826 3576 3768 4608 4768 5024 5364 5652 7152 7536 9536 10048 10728 11304 14304 15072 19072 20096 21456 22608 23393 28608 30144 38144 40192 42912 45216 46786 57216 60288 70179 76288 80384 85824 90432 93572 114432 120576 140358 171648 180864 187144 210537 228864 241152 280716 343296 361728 374288 421074 561432 686592 723456 748576 842148 1122864 1497152 1684296 2245728 2994304 3368592 4491456 5988608 6737184 8982912 11977216 13474368 17965824 26948736 35931648 53897472 107794944