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13274496 = 273323167
BaseRepresentation
bin110010101000…
…110110000000
3220222102012000
4302220312000
511344240441
61152304000
7220555104
oct62506600
926872160
1013274496
117547364
124542000
13299a141
141a97904
1512732b6
hexca8d80

13274496 has 128 divisors (see below), whose sum is σ = 41126400. Its totient is φ = 4207104.

The previous prime is 13274491. The next prime is 13274497. The reversal of 13274496 is 69447231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13274496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13274491) 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, 79405 + ... + 79571.

It is an arithmetic number, because the mean of its divisors is an integer number (321300).

Almost surely, 213274496 is an apocalyptic number.

13274496 is a gapful number since it is divisible by the number (16) 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 13274496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563200).

13274496 is an abundant number, since it is smaller than the sum of its proper divisors (27851904).

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

13274496 is a wasteful number, since it uses less digits than its factorization.

13274496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 195 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 13274496 is about 3643.4181752854. The cubic root of 13274496 is about 236.7769091193.

The spelling of 13274496 in words is "thirteen million, two hundred seventy-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 167 184 192 207 216 276 288 334 368 384 414 432 501 552 576 621 668 736 828 864 1002 1104 1152 1242 1336 1472 1503 1656 1728 2004 2208 2484 2672 2944 3006 3312 3456 3841 4008 4416 4509 4968 5344 6012 6624 7682 8016 8832 9018 9936 10688 11523 12024 13248 15364 16032 18036 19872 21376 23046 24048 26496 30728 32064 34569 36072 39744 46092 48096 61456 64128 69138 72144 79488 92184 96192 103707 122912 138276 144288 184368 192384 207414 245824 276552 288576 368736 414828 491648 553104 577152 737472 829656 1106208 1474944 1659312 2212416 3318624 4424832 6637248 13274496