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107267130 = 23253138447
BaseRepresentation
bin1100110010011…
…00010000111010
321110211201211200
412121030100322
5204430022010
614351035030
72441520105
oct631142072
9243751750
10107267130
1155605423
122bb0ba76
13192b9499
141036373c
15963ccc0
hex664c43a

107267130 has 48 divisors (see below), whose sum is σ = 287898624. Its totient is φ = 27681120.

The previous prime is 107267119. The next prime is 107267131. The reversal of 107267130 is 31762701.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 107267094 and 107267103.

It is not an unprimeable number, because it can be changed into a prime (107267131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16434 + ... + 22013.

It is an arithmetic number, because the mean of its divisors is an integer number (5997888).

Almost surely, 2107267130 is an apocalyptic number.

107267130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107267130 is an abundant number, since it is smaller than the sum of its proper divisors (180631494).

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

107267130 is a wasteful number, since it uses less digits than its factorization.

107267130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38491 (or 38488 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 107267130 is about 10356.9845997761. The cubic root of 107267130 is about 475.1406859359.

It can be divided in two parts, 1072671 and 30, that added together give a palindrome (1072701).

The spelling of 107267130 in words is "one hundred seven million, two hundred sixty-seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 38447 76894 115341 192235 230682 346023 384470 576705 692046 1153410 1191857 1730115 2383714 3460230 3575571 5959285 7151142 10726713 11918570 17877855 21453426 35755710 53633565 107267130