Search a number
-
+
107861360 = 2455325439
BaseRepresentation
bin1100110110111…
…01010101110000
321111221220222012
412123131111300
5210103030420
614411502052
72446543415
oct633352560
9244856865
10107861360
1155980922
1230157928
1319466ab9
141047a10c
159708dc5
hex66dd570

107861360 has 40 divisors (see below), whose sum is σ = 255519360. Its totient is φ = 42328832.

The previous prime is 107861323. The next prime is 107861371. The reversal of 107861360 is 63168701.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8480 + ... + 16959.

It is an arithmetic number, because the mean of its divisors is an integer number (6387984).

Almost surely, 2107861360 is an apocalyptic number.

107861360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107861360 is the 8480-th pentagonal number.

It is an amenable number.

107861360 is an abundant number, since it is smaller than the sum of its proper divisors (147658000).

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

107861360 is a wasteful number, since it uses less digits than its factorization.

107861360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25505 (or 25499 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 107861360 is about 10385.6323832495. The cubic root of 107861360 is about 476.0164530716.

Subtracting from 107861360 its sum of digits (32), we obtain a triangular number (107861328 = T14687).

The spelling of 107861360 in words is "one hundred seven million, eight hundred sixty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 25439 50878 101756 127195 203512 254390 407024 508780 1017560 1348267 2035120 2696534 5393068 6741335 10786136 13482670 21572272 26965340 53930680 107861360