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12157110 = 2325723839
BaseRepresentation
bin101110011000…
…000010110110
3211212122102100
4232120002312
511103011420
61112322530
7205222320
oct56300266
924778370
1012157110
1169538a9
1240a3446
132698674
141886610
151102190
hexb980b6

12157110 has 96 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 2654784.

The previous prime is 12157069. The next prime is 12157129. The reversal of 12157110 is 1175121.

12157110 = T260 + T261 + ... + T448.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 14071 + ... + 14909.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 212157110 is an apocalyptic number.

12157110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12157110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

12157110 is an abundant number, since it is smaller than the sum of its proper divisors (25582410).

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

12157110 is a wasteful number, since it uses less digits than its factorization.

12157110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 12157110 is about 3486.7047480393. The cubic root of 12157110 is about 229.9376642664.

The spelling of 12157110 in words is "twelve million, one hundred fifty-seven thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 30 35 42 45 46 63 69 70 90 105 115 126 138 161 207 210 230 315 322 345 414 483 630 690 805 839 966 1035 1449 1610 1678 2070 2415 2517 2898 4195 4830 5034 5873 7245 7551 8390 11746 12585 14490 15102 17619 19297 25170 29365 35238 37755 38594 52857 57891 58730 75510 88095 96485 105714 115782 135079 173673 176190 192970 264285 270158 289455 347346 405237 528570 578910 675395 810474 868365 1215711 1350790 1736730 2026185 2431422 4052370 6078555 12157110