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107048916 = 223213228737
BaseRepresentation
bin1100110000101…
…10111111010100
321110102122111200
412120112333110
5204401031131
614342232500
72436620652
oct630267724
9243378450
10107048916
1155476487
122ba25730
1319241070
1410307dd2
1595e82e6
hex6616fd4

107048916 has 36 divisors (see below), whose sum is σ = 291412212. Its totient is φ = 32937984.

The previous prime is 107048911. The next prime is 107048927. The reversal of 107048916 is 619840701.

It can be written as a sum of positive squares in 2 ways, for example, as 7128900 + 99920016 = 2670^2 + 9996^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1070489162 = 22918940833550112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107048911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113901 + ... + 114836.

Almost surely, 2107048916 is an apocalyptic number.

It is an amenable number.

107048916 is an abundant number, since it is smaller than the sum of its proper divisors (184363296).

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

107048916 is a wasteful number, since it uses less digits than its factorization.

107048916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228760 (or 228755 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 107048916 is about 10346.4446067236. Note that the first 3 decimals coincide. The cubic root of 107048916 is about 474.8182736046.

The spelling of 107048916 in words is "one hundred seven million, forty-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 228737 457474 686211 914948 1372422 2058633 2744844 2973581 4117266 5947162 8234532 8920743 11894324 17841486 26762229 35682972 53524458 107048916