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13864928 = 2571117331
BaseRepresentation
bin110100111000…
…111111100000
3222002102002212
4310320333200
512022134203
61213101252
7225564350
oct64707740
928072085
1013864928
11790aa20
124787828
132b45acc
141bacb60
15133d1d8
hexd38fe0

13864928 has 96 divisors (see below), whose sum is σ = 36142848. Its totient is φ = 5068800.

The previous prime is 13864919. The next prime is 13864969. The reversal of 13864928 is 82946831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41723 + ... + 42053.

It is an arithmetic number, because the mean of its divisors is an integer number (376488).

Almost surely, 213864928 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 13864928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18071424).

13864928 is an abundant number, since it is smaller than the sum of its proper divisors (22277920).

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

13864928 is a wasteful number, since it uses less digits than its factorization.

13864928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 368 counting only the distinct ones).

The product of its digits is 82944, while the sum is 41.

The square root of 13864928 is about 3723.5638842378. The cubic root of 13864928 is about 240.2366184906.

The spelling of 13864928 in words is "thirteen million, eight hundred sixty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 68 77 88 112 119 136 154 176 187 224 238 272 308 331 352 374 476 544 616 662 748 952 1232 1309 1324 1496 1904 2317 2464 2618 2648 2992 3641 3808 4634 5236 5296 5627 5984 7282 9268 10472 10592 11254 14564 18536 20944 22508 25487 29128 37072 39389 41888 45016 50974 58256 61897 74144 78778 90032 101948 116512 123794 157556 180064 203896 247588 315112 407792 433279 495176 630224 815584 866558 990352 1260448 1733116 1980704 3466232 6932464 13864928