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107012934 = 23371012803
BaseRepresentation
bin1100110000011…
…10001101000110
321110100211011000
412120032031012
5204343403214
614341354130
72436411030
oct630161506
9243324130
10107012934
1155451446
122ba08946
131922a882
14102d8c50
1595dc809
hex660e346

107012934 has 64 divisors (see below), whose sum is σ = 274567680. Its totient is φ = 30261600.

The previous prime is 107012933. The next prime is 107012953. The reversal of 107012934 is 439210701.

It is a super-2 number, since 2×1070129342 = 22903536086576712, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 107012898 and 107012907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107012933) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36777 + ... + 39579.

It is an arithmetic number, because the mean of its divisors is an integer number (4290120).

Almost surely, 2107012934 is an apocalyptic number.

107012934 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107012934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137283840).

107012934 is an abundant number, since it is smaller than the sum of its proper divisors (167554746).

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

107012934 is a wasteful number, since it uses less digits than its factorization.

107012934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 2916 counting only the distinct ones).

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

The square root of 107012934 is about 10344.7056023842. The cubic root of 107012934 is about 474.7650679414.

The spelling of 107012934 in words is "one hundred seven million, twelve thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 101 126 189 202 303 378 606 707 909 1414 1818 2121 2727 2803 4242 5454 5606 6363 8409 12726 16818 19089 19621 25227 38178 39242 50454 58863 75681 117726 151362 176589 283103 353178 529767 566206 849309 1059534 1698618 1981721 2547927 3963442 5095854 5945163 7643781 11890326 15287562 17835489 35670978 53506467 107012934