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13114872 = 233437547
BaseRepresentation
bin110010000001…
…110111111000
3220200022020000
4302001313320
511324133442
61145033000
7216321531
oct62016770
926608200
1013114872
117448441
124485760
1329425a4
141a55688
151240d4c
hexc81df8

13114872 has 80 divisors (see below), whose sum is σ = 37795560. Its totient is φ = 4245696.

The previous prime is 13114867. The next prime is 13114877. The reversal of 13114872 is 27841131.

13114872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13114867) and next prime (13114877).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13114877) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23703 + ... + 24249.

Almost surely, 213114872 is an apocalyptic number.

13114872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13114872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18897780).

13114872 is an abundant number, since it is smaller than the sum of its proper divisors (24680688).

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

13114872 is a wasteful number, since it uses less digits than its factorization.

13114872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 589 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 13114872 is about 3621.4461199913. The cubic root of 13114872 is about 235.8240093650.

The spelling of 13114872 in words is "thirteen million, one hundred fourteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 296 324 333 444 547 648 666 888 999 1094 1332 1641 1998 2188 2664 2997 3282 3996 4376 4923 5994 6564 7992 9846 11988 13128 14769 19692 20239 23976 29538 39384 40478 44307 59076 60717 80956 88614 118152 121434 161912 177228 182151 242868 354456 364302 485736 546453 728604 1092906 1457208 1639359 2185812 3278718 4371624 6557436 13114872