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107507640 = 23352930893
BaseRepresentation
bin1100110100001…
…10111110111000
321111021221202110
412122012332320
5210010221030
614400132320
72443541232
oct632067670
9244257673
10107507640
115575a099
12300070a0
1319371ab6
14103c7252
1596891b0
hex6686fb8

107507640 has 64 divisors (see below), whose sum is σ = 333655200. Its totient is φ = 27679232.

The previous prime is 107507633. The next prime is 107507641. The reversal of 107507640 is 46705701.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 107507598 and 107507607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107507641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11967 + ... + 18926.

Almost surely, 2107507640 is an apocalyptic number.

107507640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107507640 is an abundant number, since it is smaller than the sum of its proper divisors (226147560).

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

107507640 is a wasteful number, since it uses less digits than its factorization.

107507640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30936 (or 30932 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 107507640 is about 10368.5891036341. The cubic root of 107507640 is about 475.4955345716.

The spelling of 107507640 in words is "one hundred seven million, five hundred seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 30893 61786 92679 123572 154465 185358 247144 308930 370716 463395 617860 741432 895897 926790 1235720 1791794 1853580 2687691 3583588 3707160 4479485 5375382 7167176 8958970 10750764 13438455 17917940 21501528 26876910 35835880 53753820 107507640