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13930056 = 233473783
BaseRepresentation
bin110101001000…
…111001001000
3222012201110000
4311020321020
512031230211
61214323000
7226255260
oct65107110
928181400
1013930056
117954948
1247b9460
132b6964a
141bc87a0
151352656
hexd48e48

13930056 has 160 divisors (see below), whose sum is σ = 46347840. Its totient is φ = 3825792.

The previous prime is 13930051. The next prime is 13930069. The reversal of 13930056 is 65003931.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13930051) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 167791 + ... + 167873.

It is an arithmetic number, because the mean of its divisors is an integer number (289674).

Almost surely, 213930056 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 13930056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23173920).

13930056 is an abundant number, since it is smaller than the sum of its proper divisors (32417784).

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

13930056 is a wasteful number, since it uses less digits than its factorization.

13930056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 13930056 is about 3732.2990233903. The cubic root of 13930056 is about 240.6121871178.

Adding to 13930056 its reverse (65003931), we get a palindrome (78933987).

The spelling of 13930056 in words is "thirteen million, nine hundred thirty thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 37 42 54 56 63 72 74 81 83 84 108 111 126 148 162 166 168 189 216 222 249 252 259 296 324 332 333 378 444 498 504 518 567 581 648 664 666 747 756 777 888 996 999 1036 1134 1162 1332 1494 1512 1554 1743 1992 1998 2072 2241 2268 2324 2331 2664 2988 2997 3071 3108 3486 3996 4482 4536 4648 4662 5229 5976 5994 6142 6216 6723 6972 6993 7992 8964 9213 9324 10458 11988 12284 13446 13944 13986 15687 17928 18426 18648 20916 20979 21497 23976 24568 26892 27639 27972 31374 36852 41832 41958 42994 47061 53784 55278 55944 62748 64491 73704 82917 83916 85988 94122 110556 125496 128982 165834 167832 171976 188244 193473 221112 248751 257964 331668 376488 386946 497502 515928 580419 663336 773892 995004 1160838 1547784 1741257 1990008 2321676 3482514 4643352 6965028 13930056