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125011164 = 22323247419
BaseRepresentation
bin1110111001110…
…00010011011100
322201020020002010
413130320103130
5224000324124
620223231220
73045402015
oct734702334
9281206063
10125011164
1164624813
1235a48510
131cb8cb05
141286200c
15ae95529
hex77384dc

125011164 has 72 divisors (see below), whose sum is σ = 312157440. Its totient is φ = 38917472.

The previous prime is 125011163. The next prime is 125011177. The reversal of 125011164 is 461110521.

It is a super-2 number, since 2×1250111642 = 31255582249269792, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 125011164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125011163) 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, 298147 + ... + 298565.

It is an arithmetic number, because the mean of its divisors is an integer number (4335520).

Almost surely, 2125011164 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 125011164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156078720).

125011164 is an abundant number, since it is smaller than the sum of its proper divisors (187146276).

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

125011164 is a wasteful number, since it uses less digits than its factorization.

125011164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 125011164 is about 11180.8391456098. The cubic root of 125011164 is about 500.0148848902.

Adding to 125011164 its reverse (461110521), we get a palindrome (586121685).

The spelling of 125011164 in words is "one hundred twenty-five million, eleven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 23 46 47 69 92 94 138 141 188 276 282 419 529 564 838 1058 1081 1257 1587 1676 2116 2162 2514 3174 3243 4324 5028 6348 6486 9637 12972 19274 19693 24863 28911 38548 39386 49726 57822 59079 74589 78772 99452 115644 118158 149178 221651 236316 298356 443302 452939 664953 886604 905878 1329906 1358817 1811756 2659812 2717634 5435268 10417597 20835194 31252791 41670388 62505582 125011164