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118290172 = 227111331953
BaseRepresentation
bin1110000110011…
…11011011111100
322020120202121111
413003033123330
5220240241142
615423211404
72634310210
oct703173374
9266522544
10118290172
1160854180
1233746b64
131b6788b0
14119d2940
15a5b8e17
hex70cf6fc

118290172 has 96 divisors (see below), whose sum is σ = 287207424. Its totient is φ = 41126400.

The previous prime is 118290169. The next prime is 118290259. The reversal of 118290172 is 271092811.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 123648 + ... + 124600.

It is an arithmetic number, because the mean of its divisors is an integer number (2991744).

Almost surely, 2118290172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118290172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143603712).

118290172 is an abundant number, since it is smaller than the sum of its proper divisors (168917252).

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

118290172 is a wasteful number, since it uses less digits than its factorization.

118290172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 31.

The square root of 118290172 is about 10876.1285391448. The cubic root of 118290172 is about 490.8885335907. Note that the first 3 decimals are identical.

The spelling of 118290172 in words is "one hundred eighteen million, two hundred ninety thousand, one hundred seventy-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 31 44 52 62 77 91 124 143 154 182 217 286 308 341 364 403 434 572 682 806 868 953 1001 1364 1612 1906 2002 2387 2821 3812 4004 4433 4774 5642 6671 8866 9548 10483 11284 12389 13342 17732 20966 24778 26684 29543 31031 41932 49556 59086 62062 73381 86723 118172 124124 136279 146762 173446 206801 272558 293524 324973 346892 384059 413602 545116 649946 768118 827204 953953 1299892 1536236 1907906 2274811 2688413 3815812 4224649 4549622 5376826 8449298 9099244 10753652 16898596 29572543 59145086 118290172