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107289960 = 23351947057
BaseRepresentation
bin1100110010100…
…01110101101000
321110212220011020
412121101311220
5204431234320
614351332440
72441643501
oct631216550
9243786136
10107289960
1155620598
122bb21120
13192c69ab
141036bba8
159644940
hex6651d68

107289960 has 64 divisors (see below), whose sum is σ = 338817600. Its totient is φ = 27104256.

The previous prime is 107289953. The next prime is 107289991. The reversal of 107289960 is 69982701.

It is a super-2 number, since 2×1072899602 = 23022271033603200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21249 + ... + 25808.

It is an arithmetic number, because the mean of its divisors is an integer number (5294025).

Almost surely, 2107289960 is an apocalyptic number.

107289960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107289960 is an abundant number, since it is smaller than the sum of its proper divisors (231527640).

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

107289960 is a wasteful number, since it uses less digits than its factorization.

107289960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47090 (or 47086 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 107289960 is about 10358.0866959106. The cubic root of 107289960 is about 475.1743921060.

The spelling of 107289960 in words is "one hundred seven million, two hundred eighty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 47057 94114 141171 188228 235285 282342 376456 470570 564684 705855 894083 941140 1129368 1411710 1788166 1882280 2682249 2823420 3576332 4470415 5364498 5646840 7152664 8940830 10728996 13411245 17881660 21457992 26822490 35763320 53644980 107289960