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13997088 = 2532753131
BaseRepresentation
bin110101011001…
…010000100000
3222100010101200
4311121100200
512040401323
61220001200
7226654560
oct65312040
928303350
1013997088
1179a0246
124830200
132b91001
141c04da0
151367443
hexd59420

13997088 has 144 divisors (see below), whose sum is σ = 46702656. Its totient is φ = 3893760.

The previous prime is 13997083. The next prime is 13997099. The reversal of 13997088 is 88079931.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (13997083) 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, 106783 + ... + 106913.

It is an arithmetic number, because the mean of its divisors is an integer number (324324).

Almost surely, 213997088 is an apocalyptic number.

13997088 is a gapful number since it is divisible by the number (18) 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 13997088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23351328).

13997088 is an abundant number, since it is smaller than the sum of its proper divisors (32705568).

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

13997088 is a wasteful number, since it uses less digits than its factorization.

13997088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 13997088 is about 3741.2682341687. The cubic root of 13997088 is about 240.9975149391.

The spelling of 13997088 in words is "thirteen million, nine hundred ninety-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 53 56 63 72 84 96 106 112 126 131 144 159 168 212 224 252 262 288 318 336 371 393 424 477 504 524 636 672 742 786 848 917 954 1008 1048 1113 1179 1272 1484 1572 1696 1834 1908 2016 2096 2226 2358 2544 2751 2968 3144 3339 3668 3816 4192 4452 4716 5088 5502 5936 6288 6678 6943 7336 7632 8253 8904 9432 11004 11872 12576 13356 13886 14672 15264 16506 17808 18864 20829 22008 26712 27772 29344 33012 35616 37728 41658 44016 48601 53424 55544 62487 66024 83316 88032 97202 106848 111088 124974 132048 145803 166632 194404 222176 249948 264096 291606 333264 388808 437409 499896 583212 666528 777616 874818 999792 1166424 1555232 1749636 1999584 2332848 3499272 4665696 6998544 13997088