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13340052 = 22341119197
BaseRepresentation
bin110010111000…
…110110010100
3221002202010000
4302320312110
511403340202
61153531300
7221250165
oct62706624
927082100
1013340052
117591640
124573b30
1329c0c2b
141ab376c
15128791c
hexcb8d94

13340052 has 120 divisors (see below), whose sum is σ = 40249440. Its totient is φ = 3810240.

The previous prime is 13340027. The next prime is 13340111. The reversal of 13340052 is 25004331.

13340052 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67618 + ... + 67814.

It is an arithmetic number, because the mean of its divisors is an integer number (335412).

Almost surely, 213340052 is an apocalyptic number.

13340052 is a gapful number since it is divisible by the number (12) 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 13340052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20124720).

13340052 is an abundant number, since it is smaller than the sum of its proper divisors (26909388).

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

13340052 is a wasteful number, since it uses less digits than its factorization.

13340052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 13340052 is about 3652.4035921568. The cubic root of 13340052 is about 237.1660429120.

Adding to 13340052 its reverse (25004331), we get a palindrome (38344383).

The spelling of 13340052 in words is "thirteen million, three hundred forty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 81 99 108 114 132 162 171 197 198 209 228 297 324 342 394 396 418 513 591 594 627 684 788 836 891 1026 1182 1188 1254 1539 1773 1782 1881 2052 2167 2364 2508 3078 3546 3564 3743 3762 4334 5319 5643 6156 6501 7092 7486 7524 8668 10638 11229 11286 13002 14972 15957 16929 19503 21276 22458 22572 26004 31914 33687 33858 39006 41173 44916 58509 63828 67374 67716 78012 82346 101061 117018 123519 134748 164692 175527 202122 234036 247038 303183 351054 370557 404244 494076 606366 702108 741114 1111671 1212732 1482228 2223342 3335013 4446684 6670026 13340052