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107949060 = 22325678951
BaseRepresentation
bin1100110111100…
…10110000000100
321112010101021100
412123302300010
5210113332220
614413420100
72450360202
oct633626004
9245111240
10107949060
1155a307aa
123019a630
13194979ab
14104a0072
159724d90
hex66f2c04

107949060 has 72 divisors (see below), whose sum is σ = 332369856. Its totient is φ = 28353600.

The previous prime is 107949043. The next prime is 107949067. The reversal of 107949060 is 60949701.

107949060 is a `hidden beast` number, since 107 + 9 + 490 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (107949067) 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, 7585 + ... + 16535.

It is an arithmetic number, because the mean of its divisors is an integer number (4616248).

Almost surely, 2107949060 is an apocalyptic number.

107949060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107949060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166184928).

107949060 is an abundant number, since it is smaller than the sum of its proper divisors (224420796).

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

107949060 is a wasteful number, since it uses less digits than its factorization.

107949060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9033 (or 9028 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 107949060 is about 10389.8537044561. The cubic root of 107949060 is about 476.1454313995.

The spelling of 107949060 in words is "one hundred seven million, nine hundred forty-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 4020 6030 8951 12060 17902 26853 35804 44755 53706 80559 89510 107412 134265 161118 179020 268530 322236 402795 537060 599717 805590 1199434 1611180 1799151 2398868 2998585 3598302 5397453 5997170 7196604 8995755 10794906 11994340 17991510 21589812 26987265 35983020 53974530 107949060