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13928304 = 24313217101
BaseRepresentation
bin110101001000…
…011101110000
3222012122001010
4311020131300
512031201204
61214310520
7226250205
oct65103560
928178033
1013928304
1179535a5
1247b8440
132b68900
141bc7cac
151351d89
hexd48770

13928304 has 120 divisors (see below), whose sum is σ = 41662512. Its totient is φ = 3993600.

The previous prime is 13928281. The next prime is 13928329. The reversal of 13928304 is 40382931.

13928304 = T257 + T258 + ... + T464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137854 + ... + 137954.

Almost surely, 213928304 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 13928304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20831256).

13928304 is an abundant number, since it is smaller than the sum of its proper divisors (27734208).

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

13928304 is a wasteful number, since it uses less digits than its factorization.

13928304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 13928304 is about 3732.0643081276. The cubic root of 13928304 is about 240.6020993329.

The spelling of 13928304 in words is "thirteen million, nine hundred twenty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 101 102 104 136 156 169 202 204 208 221 272 303 312 338 404 408 442 507 606 624 663 676 808 816 884 1014 1212 1313 1326 1352 1616 1717 1768 2028 2424 2626 2652 2704 2873 3434 3536 3939 4056 4848 5151 5252 5304 5746 6868 7878 8112 8619 10302 10504 10608 11492 13736 15756 17069 17238 20604 21008 22321 22984 27472 31512 34138 34476 41208 44642 45968 51207 63024 66963 68276 68952 82416 89284 102414 133926 136552 137904 178568 204828 267852 273104 290173 357136 409656 535704 580346 819312 870519 1071408 1160692 1741038 2321384 3482076 4642768 6964152 13928304