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117526640 = 24571119079
BaseRepresentation
bin1110000000101…
…01000001110000
322012010222020112
413000111001300
5220041323030
615355000452
72624650160
oct700250160
9265128215
10117526640
1160382560
1233439128
131b46c1ba
14118745a0
15a4b7a95
hex7015070

117526640 has 80 divisors (see below), whose sum is σ = 340692480. Its totient is φ = 36629760.

The previous prime is 117526639. The next prime is 117526657. The reversal of 117526640 is 46625711.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1175266402 = 27625022219379200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 117526597 and 117526606.

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, 3380 + ... + 15699.

It is an arithmetic number, because the mean of its divisors is an integer number (4258656).

Almost surely, 2117526640 is an apocalyptic number.

117526640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117526640 is an abundant number, since it is smaller than the sum of its proper divisors (223165840).

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

117526640 is a wasteful number, since it uses less digits than its factorization.

117526640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19110 (or 19104 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 117526640 is about 10840.9704362663. The cubic root of 117526640 is about 489.8300674102.

The spelling of 117526640 in words is "one hundred seventeen million, five hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 19079 38158 76316 95395 133553 152632 190790 209869 267106 305264 381580 419738 534212 667765 763160 839476 1049345 1068424 1335530 1469083 1526320 1678952 2098690 2136848 2671060 2938166 3357904 4197380 5342120 5876332 7345415 8394760 10684240 11752664 14690830 16789520 23505328 29381660 58763320 117526640