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13362660 = 22325611217
BaseRepresentation
bin110010111110…
…010111100100
3221010220010100
4302332113210
511410101120
61154224100
7221403123
oct62762744
927126110
1013362660
1175a7623
124585030
1329cb2cc
141abbaba
15128e490
hexcbe5e4

13362660 has 72 divisors (see below), whose sum is σ = 41231736. Its totient is φ = 3502080.

The previous prime is 13362659. The next prime is 13362667. The reversal of 13362660 is 6626331.

13362660 is a `hidden beast` number, since 1 + 33 + 626 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54756 + 13307904 = 234^2 + 3648^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13362667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10372 + ... + 11588.

It is an arithmetic number, because the mean of its divisors is an integer number (572663).

Almost surely, 213362660 is an apocalyptic number.

13362660 is a gapful number since it is divisible by the number (10) 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 13362660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20615868).

13362660 is an abundant number, since it is smaller than the sum of its proper divisors (27869076).

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

13362660 is a wasteful number, since it uses less digits than its factorization.

13362660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 13362660 is about 3655.4972302000. The cubic root of 13362660 is about 237.2999460321.

Adding to 13362660 its reverse (6626331), we get a palindrome (19988991).

The spelling of 13362660 in words is "thirteen million, three hundred sixty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1217 1220 1830 2196 2434 2745 3651 3660 4868 5490 6085 7302 10953 10980 12170 14604 18255 21906 24340 36510 43812 54765 73020 74237 109530 148474 219060 222711 296948 371185 445422 668133 742370 890844 1113555 1336266 1484740 2227110 2672532 3340665 4454220 6681330 13362660