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13868532 = 22321723143
BaseRepresentation
bin110100111001…
…110111110100
3222002121001100
4310321313310
512022243112
61213130100
7225611016
oct64716764
928077040
1013868532
1179126a7
124789930
132b47642
141bb01b6
15133e2dc
hexd39df4

13868532 has 108 divisors (see below), whose sum is σ = 39335296. Its totient is φ = 4112640.

The previous prime is 13868521. The next prime is 13868539. The reversal of 13868532 is 23586831.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (34560) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13868539) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 322503 + ... + 322545.

Almost surely, 213868532 is an apocalyptic number.

13868532 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 13868532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19667648).

13868532 is an abundant number, since it is smaller than the sum of its proper divisors (25466764).

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

13868532 is a wasteful number, since it uses less digits than its factorization.

13868532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 96 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 13868532 is about 3724.0477977599. The cubic root of 13868532 is about 240.2574321042.

It can be divided in two parts, 13868 and 532, that added together give a square (14400 = 1202).

The spelling of 13868532 in words is "thirteen million, eight hundred sixty-eight thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 43 51 62 68 86 93 102 124 129 153 172 186 204 258 279 289 306 372 387 516 527 558 578 612 731 774 867 1054 1116 1156 1333 1462 1548 1581 1734 2108 2193 2601 2666 2924 3162 3468 3999 4386 4743 5202 5332 6324 6579 7998 8772 8959 9486 10404 11997 12427 13158 15996 17918 18972 22661 23994 24854 26316 26877 35836 37281 45322 47988 49708 53754 67983 74562 80631 90644 107508 111843 135966 149124 161262 203949 223686 271932 322524 385237 407898 447372 770474 815796 1155711 1540948 2311422 3467133 4622844 6934266 13868532