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13351392 = 253517101
BaseRepresentation
bin110010111011…
…100111100000
3221010022200000
4302323213200
511404221032
61154100000
7221325225
oct62734740
927108600
1013351392
11759a10a
12457a600
1329c6142
141ab794c
15128ae7c
hexcbb9e0

13351392 has 144 divisors (see below), whose sum is σ = 42103152. Its totient is φ = 4147200.

The previous prime is 13351391. The next prime is 13351399. The reversal of 13351392 is 29315331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13351391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132142 + ... + 132242.

It is an arithmetic number, because the mean of its divisors is an integer number (292383).

Almost surely, 213351392 is an apocalyptic number.

13351392 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 13351392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21051576).

13351392 is an abundant number, since it is smaller than the sum of its proper divisors (28751760).

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

13351392 is a wasteful number, since it uses less digits than its factorization.

13351392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 123 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 13351392 is about 3653.9556647557. The cubic root of 13351392 is about 237.2332265884.

The spelling of 13351392 in words is "thirteen million, three hundred fifty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 101 102 108 136 144 153 162 202 204 216 243 272 288 303 306 324 404 408 432 459 486 544 606 612 648 808 816 864 909 918 972 1212 1224 1296 1377 1616 1632 1717 1818 1836 1944 2424 2448 2592 2727 2754 3232 3434 3636 3672 3888 4131 4848 4896 5151 5454 5508 6868 7272 7344 7776 8181 8262 9696 10302 10908 11016 13736 14544 14688 15453 16362 16524 20604 21816 22032 24543 27472 29088 30906 32724 33048 41208 43632 44064 46359 49086 54944 61812 65448 66096 82416 87264 92718 98172 123624 130896 132192 139077 164832 185436 196344 247248 261792 278154 370872 392688 417231 494496 556308 741744 785376 834462 1112616 1483488 1668924 2225232 3337848 4450464 6675696 13351392