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107403680560 = 24511122049637
BaseRepresentation
bin110010000000111000…
…0100001101100110000
3101021020010222021122211
41210001300201230300
53224430320234220
6121201321341504
710521364136011
oct1440160415460
9337203867584
10107403680560
1141605639970
1218995337894
13a188645307
1452ac45d008
152bd91e2b5a
hex1901c21b30

107403680560 has 40 divisors (see below), whose sum is σ = 272414792016. Its totient is φ = 39055883520.

The previous prime is 107403680557. The next prime is 107403680591. The reversal of 107403680560 is 65086304701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61023939 + ... + 61025698.

Almost surely, 2107403680560 is an apocalyptic number.

107403680560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107403680560 is an abundant number, since it is smaller than the sum of its proper divisors (165011111456).

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

107403680560 is a wasteful number, since it uses less digits than its factorization.

107403680560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122049661 (or 122049655 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 107403680560 in words is "one hundred seven billion, four hundred three million, six hundred eighty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 122049637 244099274 488198548 610248185 976397096 1220496370 1342546007 1952794192 2440992740 2685092014 4881985480 5370184028 6712730035 9763970960 10740368056 13425460070 21480736112 26850920140 53701840280 107403680560