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13398528 = 293111361
BaseRepresentation
bin110011000111…
…001000000000
3221012201022210
4303013020000
511412223103
61155102120
7221612523
oct63071000
927181283
1013398528
117621570
1245a1940
132a11730
141acabba
151299e03
hexcc7200

13398528 has 160 divisors (see below), whose sum is σ = 42622272. Its totient is φ = 3686400.

The previous prime is 13398503. The next prime is 13398547. The reversal of 13398528 is 82589331.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (51840) is a multiple of the sum of its prime divisors (90).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219618 + ... + 219678.

Almost surely, 213398528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13398528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21311136).

13398528 is an abundant number, since it is smaller than the sum of its proper divisors (29223744).

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

13398528 is a wasteful number, since it uses less digits than its factorization.

13398528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 90 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 13398528 is about 3660.3999781445. The cubic root of 13398528 is about 237.5120762096.

The spelling of 13398528 in words is "thirteen million, three hundred ninety-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 61 64 66 78 88 96 104 122 128 132 143 156 176 183 192 208 244 256 264 286 312 352 366 384 416 429 488 512 528 572 624 671 704 732 768 793 832 858 976 1056 1144 1248 1342 1408 1464 1536 1586 1664 1716 1952 2013 2112 2288 2379 2496 2684 2816 2928 3172 3328 3432 3904 4026 4224 4576 4758 4992 5368 5632 5856 6344 6656 6864 7808 8052 8448 8723 9152 9516 9984 10736 11712 12688 13728 15616 16104 16896 17446 18304 19032 19968 21472 23424 25376 26169 27456 31232 32208 34892 36608 38064 42944 46848 50752 52338 54912 64416 69784 73216 76128 85888 93696 101504 104676 109824 128832 139568 152256 171776 203008 209352 219648 257664 279136 304512 343552 406016 418704 515328 558272 609024 837408 1030656 1116544 1218048 1674816 2233088 3349632 4466176 6699264 13398528