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107081216 = 291119013
BaseRepresentation
bin1100110000111…
…10111000000000
321110111021210222
412120132320000
5204403044331
614343042212
72440114064
oct630367000
9243437728
10107081216
1155498780
122ba40368
1319252988
1410315aa4
159602b7b
hex661ee00

107081216 has 40 divisors (see below), whose sum is σ = 233415864. Its totient is φ = 48670720.

The previous prime is 107081189. The next prime is 107081243. The reversal of 107081216 is 612180701.

It is an interprime number because it is at equal distance from previous prime (107081189) and next prime (107081243).

It is a super-2 number, since 2×1070812162 = 22932773640077312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3875 + ... + 15138.

Almost surely, 2107081216 is an apocalyptic number.

107081216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107081216 is an abundant number, since it is smaller than the sum of its proper divisors (126334648).

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

107081216 is an equidigital number, since it uses as much as digits as its factorization.

107081216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19042 (or 19026 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 26.

The square root of 107081216 is about 10348.0054116723. The cubic root of 107081216 is about 474.8660246346.

The spelling of 107081216 in words is "one hundred seven million, eighty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1408 2816 5632 19013 38026 76052 152104 209143 304208 418286 608416 836572 1216832 1673144 2433664 3346288 4867328 6692576 9734656 13385152 26770304 53540608 107081216