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13398264 = 2333115639
BaseRepresentation
bin110011000111…
…000011111000
3221012200222000
4303013003320
511412221024
61155101000
7221611665
oct63070370
927180860
1013398264
117621350
1245a1760
132a11589
141acaa6c
151299cc9
hexcc70f8

13398264 has 64 divisors (see below), whose sum is σ = 40608000. Its totient is φ = 4059360.

The previous prime is 13398263. The next prime is 13398271. The reversal of 13398264 is 46289331.

13398264 is a `hidden beast` number, since 1 + 3 + 398 + 264 = 666.

13398264 is digitally balanced in base 2, because in such base 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13398263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444 + ... + 5195.

It is an arithmetic number, because the mean of its divisors is an integer number (634500).

Almost surely, 213398264 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 13398264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20304000).

13398264 is an abundant number, since it is smaller than the sum of its proper divisors (27209736).

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

13398264 is a wasteful number, since it uses less digits than its factorization.

13398264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5665 (or 5655 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 13398264 is about 3660.3639163340. The cubic root of 13398264 is about 237.5105162472.

The spelling of 13398264 in words is "thirteen million, three hundred ninety-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 5639 11278 16917 22556 33834 45112 50751 62029 67668 101502 124058 135336 152253 186087 203004 248116 304506 372174 406008 496232 558261 609012 744348 1116522 1218024 1488696 1674783 2233044 3349566 4466088 6699132 13398264