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106882440 = 23357127241
BaseRepresentation
bin1100101111011…
…10010110001000
321110010012010220
412113232112020
5204330214230
614334510040
72435325420
oct627562610
9243105126
10106882440
11553723a5
122b965320
13191b3362
14102a3480
1595b3d10
hex65ee588

106882440 has 64 divisors (see below), whose sum is σ = 366456960. Its totient is φ = 24430080.

The previous prime is 106882427. The next prime is 106882463. The reversal of 106882440 is 44288601.

It is a super-2 number, since 2×1068824402 = 22847711960707200, which contains 22 as substring.

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, 62781 + ... + 64460.

It is an arithmetic number, because the mean of its divisors is an integer number (5725890).

Almost surely, 2106882440 is an apocalyptic number.

106882440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106882440 is an abundant number, since it is smaller than the sum of its proper divisors (259574520).

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

106882440 is a wasteful number, since it uses less digits than its factorization.

106882440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127262 (or 127258 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 106882440 is about 10338.3963940255. The cubic root of 106882440 is about 474.5720096813.

The spelling of 106882440 in words is "one hundred six million, eight hundred eighty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 127241 254482 381723 508964 636205 763446 890687 1017928 1272410 1526892 1781374 1908615 2544820 2672061 3053784 3562748 3817230 4453435 5089640 5344122 7125496 7634460 8906870 10688244 13360305 15268920 17813740 21376488 26720610 35627480 53441220 106882440