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13364904 = 2337195379
BaseRepresentation
bin110010111110…
…111010101000
3221011000012110
4302332322220
511410134104
61154242320
7221412510
oct62767250
927130173
1013364904
1175a9283
1245863a0
1329cc337
141abc840
15128ee89
hexcbeea8

13364904 has 128 divisors (see below), whose sum is σ = 41472000. Its totient is φ = 3504384.

The previous prime is 13364903. The next prime is 13364921. The reversal of 13364904 is 40946331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13364903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169137 + ... + 169215.

It is an arithmetic number, because the mean of its divisors is an integer number (324000).

Almost surely, 213364904 is an apocalyptic number.

13364904 is a gapful number since it is divisible by the number (14) 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 13364904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20736000).

13364904 is an abundant number, since it is smaller than the sum of its proper divisors (28107096).

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

13364904 is a wasteful number, since it uses less digits than its factorization.

13364904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 13364904 is about 3655.8041523036. The cubic root of 13364904 is about 237.3132285990.

The spelling of 13364904 in words is "thirteen million, three hundred sixty-four thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 53 56 57 76 79 84 106 114 133 152 158 159 168 212 228 237 266 316 318 371 399 424 456 474 532 553 632 636 742 798 948 1007 1064 1106 1113 1272 1484 1501 1596 1659 1896 2014 2212 2226 2968 3002 3021 3192 3318 4028 4187 4424 4452 4503 6004 6042 6636 7049 8056 8374 8904 9006 10507 12008 12084 12561 13272 14098 16748 18012 21014 21147 24168 25122 28196 29309 31521 33496 36024 42028 42294 50244 56392 58618 63042 79553 84056 84588 87927 100488 117236 126084 159106 169176 175854 234472 238659 252168 318212 351708 477318 556871 636424 703416 954636 1113742 1670613 1909272 2227484 3341226 4454968 6682452 13364904