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13897728 = 212321329
BaseRepresentation
bin110101000001…
…000000000000
3222011002002200
4311001000000
512024211403
61213513200
7226062105
oct65010000
928132080
1013897728
117932629
1247a2800
132b57a10
141bbaaac
151347ca3
hexd41000

13897728 has 156 divisors (see below), whose sum is σ = 44722860. Its totient is φ = 4128768.

The previous prime is 13897717. The next prime is 13897777. The reversal of 13897728 is 82779831.

It can be written as a sum of positive squares in 2 ways, for example, as 4460544 + 9437184 = 2112^2 + 3072^2 .

It is a tau number, because it is divible by the number of its divisors (156).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (169344) is a multiple of the sum of its prime factors (72).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 479218 + ... + 479246.

It is an arithmetic number, because the mean of its divisors is an integer number (286685).

Almost surely, 213897728 is an apocalyptic number.

13897728 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 13897728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22361430).

13897728 is an abundant number, since it is smaller than the sum of its proper divisors (30825132).

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

13897728 is a wasteful number, since it uses less digits than its factorization.

13897728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 47 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 13897728 is about 3727.9656650779. The cubic root of 13897728 is about 240.4259103877.

The spelling of 13897728 in words is "thirteen million, eight hundred ninety-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 29 32 36 39 48 52 58 64 72 78 87 96 104 116 117 128 144 156 174 192 208 232 234 256 261 288 312 348 377 384 416 464 468 512 522 576 624 696 754 768 832 928 936 1024 1044 1131 1152 1248 1392 1508 1536 1664 1856 1872 2048 2088 2262 2304 2496 2784 3016 3072 3328 3393 3712 3744 4096 4176 4524 4608 4992 5568 6032 6144 6656 6786 7424 7488 8352 9048 9216 9984 11136 12064 12288 13312 13572 14848 14976 16704 18096 18432 19968 22272 24128 26624 27144 29696 29952 33408 36192 36864 39936 44544 48256 53248 54288 59392 59904 66816 72384 79872 89088 96512 108576 118784 119808 133632 144768 159744 178176 193024 217152 239616 267264 289536 356352 386048 434304 479232 534528 579072 772096 868608 1069056 1158144 1544192 1737216 2316288 3474432 4632576 6948864 13897728