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106959540 = 22352961471
BaseRepresentation
bin1100110000000…
…01001010110100
321110021002220110
412120001022310
5204340201130
614340303020
72436066252
oct630011264
9243232813
10106959540
1155415316
122b9a1a70
131920c48c
14102c35d2
1595cbab0
hex66012b4

106959540 has 48 divisors (see below), whose sum is σ = 309818880. Its totient is φ = 27538560.

The previous prime is 106959539. The next prime is 106959551. The reversal of 106959540 is 45959601.

It is a super-2 number, since 2×1069595402 = 22880686394023200, which contains 22 as substring.

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, 28996 + ... + 32475.

It is an arithmetic number, because the mean of its divisors is an integer number (6454560).

Almost surely, 2106959540 is an apocalyptic number.

106959540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106959540 is an abundant number, since it is smaller than the sum of its proper divisors (202859340).

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

106959540 is a wasteful number, since it uses less digits than its factorization.

106959540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61512 (or 61510 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 106959540 is about 10342.1245399579. The cubic root of 106959540 is about 474.6860936146.

The spelling of 106959540 in words is "one hundred six million, nine hundred fifty-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 61471 122942 184413 245884 307355 368826 614710 737652 922065 1229420 1782659 1844130 3565318 3688260 5347977 7130636 8913295 10695954 17826590 21391908 26739885 35653180 53479770 106959540