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23115120 = 2435713759
BaseRepresentation
bin101100000101…
…1010101110000
31121111100222120
41120023111300
521404140440
62143234240
7400322010
oct130132560
947440876
1023115120
1112058806
1278a8980
134a342b2
1430d9c40
152068dd0
hex160b570

23115120 has 80 divisors (see below), whose sum is σ = 81899520. Its totient is φ = 5283072.

The previous prime is 23115109. The next prime is 23115133. The reversal of 23115120 is 2151132.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×231151202 = 1068617545228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23115120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5200 + ... + 8559.

It is an arithmetic number, because the mean of its divisors is an integer number (1023744).

Almost surely, 223115120 is an apocalyptic number.

23115120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23115120 is an abundant number, since it is smaller than the sum of its proper divisors (58784400).

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

23115120 is a wasteful number, since it uses less digits than its factorization.

23115120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13782 (or 13776 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 23115120 is about 4807.8186321865. The cubic root of 23115120 is about 284.8603809821.

Adding to 23115120 its reverse (2151132), we get a palindrome (25266252).

It can be divided in two parts, 231 and 15120, that added together give a palindrome (15351).

The spelling of 23115120 in words is "twenty-three million, one hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 13759 27518 41277 55036 68795 82554 96313 110072 137590 165108 192626 206385 220144 275180 288939 330216 385252 412770 481565 550360 577878 660432 770504 825540 963130 1100720 1155756 1444695 1541008 1651080 1926260 2311512 2889390 3302160 3852520 4623024 5778780 7705040 11557560 23115120