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113196960 = 2533526203
BaseRepresentation
bin1101011111100…
…11111110100000
321220000000001000
412233303332200
5212434300320
615122112000
72543105202
oct657637640
9256000030
10113196960
1158995608
1231aab600
131a5b4566
1411068772
159e0ec90
hex6bf3fa0

113196960 has 96 divisors (see below), whose sum is σ = 396204480. Its totient is φ = 30184704.

The previous prime is 113196953. The next prime is 113196973. The reversal of 113196960 is 69691311.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8782 + ... + 17421.

It is an arithmetic number, because the mean of its divisors is an integer number (4127130).

Almost surely, 2113196960 is an apocalyptic number.

113196960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113196960 is an abundant number, since it is smaller than the sum of its proper divisors (283007520).

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

113196960 is a wasteful number, since it uses less digits than its factorization.

113196960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26227 (or 26213 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 113196960 is about 10639.4059984569. The cubic root of 113196960 is about 483.7395406668.

The spelling of 113196960 in words is "one hundred thirteen million, one hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 26203 52406 78609 104812 131015 157218 209624 235827 262030 314436 393045 419248 471654 524060 628872 707481 786090 838496 943308 1048120 1179135 1257744 1414962 1572180 1886616 2096240 2358270 2515488 2829924 3144360 3537405 3773232 4192480 4716540 5659848 6288720 7074810 7546464 9433080 11319696 12577440 14149620 18866160 22639392 28299240 37732320 56598480 113196960