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107796960 = 2533524953
BaseRepresentation
bin1100110110011…
…01100111100000
321111211122122000
412123031213200
5210044000320
614410244000
72446154565
oct633154740
9244748560
10107796960
11559374a7
1230126600
13194436ab
141046086c
1596e4c90
hex66cd9e0

107796960 has 96 divisors (see below), whose sum is σ = 377304480. Its totient is φ = 28744704.

The previous prime is 107796959. The next prime is 107796961. The reversal of 107796960 is 69697701.

It is an interprime number because it is at equal distance from previous prime (107796959) and next prime (107796961).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107796961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8157 + ... + 16796.

It is an arithmetic number, because the mean of its divisors is an integer number (3930255).

Almost surely, 2107796960 is an apocalyptic number.

107796960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107796960 is an abundant number, since it is smaller than the sum of its proper divisors (269507520).

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

107796960 is a wasteful number, since it uses less digits than its factorization.

107796960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24977 (or 24963 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 107796960 is about 10382.5314832174. The cubic root of 107796960 is about 475.9216969801.

The spelling of 107796960 in words is "one hundred seven million, seven hundred ninety-six thousand, nine hundred sixty".

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 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 24953 49906 74859 99812 124765 149718 199624 224577 249530 299436 374295 399248 449154 499060 598872 673731 748590 798496 898308 998120 1122885 1197744 1347462 1497180 1796616 1996240 2245770 2395488 2694924 2994360 3368655 3593232 3992480 4491540 5389848 5988720 6737310 7186464 8983080 10779696 11977440 13474620 17966160 21559392 26949240 35932320 53898480 107796960