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107179540 = 225132317923
BaseRepresentation
bin1100110001101…
…10111000010100
321110200021200121
412120312320110
5204414221130
614345121324
72441003536
oct630667024
9243607617
10107179540
1155555636
122ba89244
1319288660
141033d856
159621d7a
hex6636e14

107179540 has 48 divisors (see below), whose sum is σ = 252943488. Its totient is φ = 37851264.

The previous prime is 107179531. The next prime is 107179547. The reversal of 107179540 is 45971701.

It is a super-2 number, since 2×1071795402 = 22974907589223200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107179496 and 107179505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107179547) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2982 + ... + 14941.

It is an arithmetic number, because the mean of its divisors is an integer number (5269656).

Almost surely, 2107179540 is an apocalyptic number.

107179540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107179540 is an abundant number, since it is smaller than the sum of its proper divisors (145763948).

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

107179540 is a wasteful number, since it uses less digits than its factorization.

107179540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17968 (or 17966 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 34.

The square root of 107179540 is about 10352.7551888374. The cubic root of 107179540 is about 475.0113238298.

The spelling of 107179540 in words is "one hundred seven million, one hundred seventy-nine thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 1196 1495 2990 5980 17923 35846 71692 89615 179230 232999 358460 412229 465998 824458 931996 1164995 1648916 2061145 2329990 4122290 4659980 5358977 8244580 10717954 21435908 26794885 53589770 107179540