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107231880 = 23357127657
BaseRepresentation
bin1100110010000…
…11101010001000
321110202221111010
412121003222020
5204422410010
614350203520
72441312250
oct631035210
9243687433
10107231880
1155590998
122bab35a0
13192a6422
1410354960
159632620
hex6643a88

107231880 has 64 divisors (see below), whose sum is σ = 367655040. Its totient is φ = 24509952.

The previous prime is 107231843. The next prime is 107231881. The reversal of 107231880 is 88132701.

It is a happy number.

It is a super-2 number, since 2×1072318802 = 22997352176668800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (107231881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62989 + ... + 64668.

It is an arithmetic number, because the mean of its divisors is an integer number (5744610).

Almost surely, 2107231880 is an apocalyptic number.

107231880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107231880 is an abundant number, since it is smaller than the sum of its proper divisors (260423160).

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

107231880 is a wasteful number, since it uses less digits than its factorization.

107231880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127678 (or 127674 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 107231880 is about 10355.2827098057. The cubic root of 107231880 is about 475.0886335064.

The spelling of 107231880 in words is "one hundred seven million, two hundred thirty-one thousand, eight hundred eighty".

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 127657 255314 382971 510628 638285 765942 893599 1021256 1276570 1531884 1787198 1914855 2553140 2680797 3063768 3574396 3829710 4467995 5106280 5361594 7148792 7659420 8935990 10723188 13403985 15318840 17871980 21446376 26807970 35743960 53615940 107231880