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107340912 = 24327831283
BaseRepresentation
bin1100110010111…
…10010001110000
321110222111001100
412121132101300
5204434402122
614352404400
72442245160
oct631362160
9243874040
10107340912
11556558a8
122bb46700
1319313c43
14103825a0
159654aac
hex665e470

107340912 has 120 divisors (see below), whose sum is σ = 347727744. Its totient is φ = 30275712.

The previous prime is 107340889. The next prime is 107340913. The reversal of 107340912 is 219043701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107340913) 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 23 ways as a sum of consecutive naturals, for example, 83023 + ... + 84305.

Almost surely, 2107340912 is an apocalyptic number.

107340912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107340912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173863872).

107340912 is an abundant number, since it is smaller than the sum of its proper divisors (240386832).

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

107340912 is a wasteful number, since it uses less digits than its factorization.

107340912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 107340912 is about 10360.5459315617. The cubic root of 107340912 is about 475.2496003051.

The spelling of 107340912 in words is "one hundred seven million, three hundred forty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 83 84 112 126 144 166 168 249 252 332 336 498 504 581 664 747 996 1008 1162 1283 1328 1494 1743 1992 2324 2566 2988 3486 3849 3984 4648 5132 5229 5976 6972 7698 8981 9296 10264 10458 11547 11952 13944 15396 17962 20528 20916 23094 26943 27888 30792 35924 41832 46188 53886 61584 71848 80829 83664 92376 106489 107772 143696 161658 184752 212978 215544 319467 323316 425956 431088 638934 646632 745423 851912 958401 1277868 1293264 1490846 1703824 1916802 2236269 2555736 2981692 3833604 4472538 5111472 5963384 6708807 7667208 8945076 11926768 13417614 15334416 17890152 26835228 35780304 53670456 107340912