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13364360 = 2352941281
BaseRepresentation
bin110010111110…
…110010001000
3221010222110022
4302332302020
511410124420
61154240012
7221411102
oct62766210
927128408
1013364360
1175a8929
124586008
1329cc009
141abc572
15128ec25
hexcbec88

13364360 has 64 divisors (see below), whose sum is σ = 31978800. Its totient is φ = 5017600.

The previous prime is 13364359. The next prime is 13364371. The reversal of 13364360 is 6346331.

13364360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3467044 + 9897316 = 1862^2 + 3146^2 .

It is a super-2 number, since 2×133643602 = 357212236419200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47420 + ... + 47700.

Almost surely, 213364360 is an apocalyptic number.

13364360 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 13364360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15989400).

13364360 is an abundant number, since it is smaller than the sum of its proper divisors (18614440).

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

13364360 is a wasteful number, since it uses less digits than its factorization.

13364360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

The square root of 13364360 is about 3655.7297493113. The cubic root of 13364360 is about 237.3100087193.

The spelling of 13364360 in words is "thirteen million, three hundred sixty-four thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 41 58 82 116 145 164 205 232 281 290 328 410 562 580 820 1124 1160 1189 1405 1640 2248 2378 2810 4756 5620 5945 8149 9512 11240 11521 11890 16298 23042 23780 32596 40745 46084 47560 57605 65192 81490 92168 115210 162980 230420 325960 334109 460840 668218 1336436 1670545 2672872 3341090 6682180 13364360