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13379352 = 2337231367
BaseRepresentation
bin110011000010…
…011100011000
3221011202000120
4303002130120
511411114402
61154433240
7221502600
oct63023430
927152016
1013379352
117609118
124592820
132a05a9c
141ac3c00
1512943bc
hexcc2718

13379352 has 96 divisors (see below), whose sum is σ = 40273920. Its totient is φ = 3689280.

The previous prime is 13379347. The next prime is 13379381. The reversal of 13379352 is 25397331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36273 + ... + 36639.

It is an arithmetic number, because the mean of its divisors is an integer number (419520).

Almost surely, 213379352 is an apocalyptic number.

13379352 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 13379352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20136960).

13379352 is an abundant number, since it is smaller than the sum of its proper divisors (26894568).

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

13379352 is a wasteful number, since it uses less digits than its factorization.

13379352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 410 counting only the distinct ones).

The product of its digits is 17010, while the sum is 33.

The square root of 13379352 is about 3657.7796543805. The cubic root of 13379352 is about 237.3987128580.

It can be divided in two parts, 13379 and 352, that added together give a palindrome (13731).

The spelling of 13379352 in words is "thirteen million, three hundred seventy-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 49 56 62 84 93 98 124 147 168 186 196 217 248 294 367 372 392 434 588 651 734 744 868 1101 1176 1302 1468 1519 1736 2202 2569 2604 2936 3038 4404 4557 5138 5208 6076 7707 8808 9114 10276 11377 12152 15414 17983 18228 20552 22754 30828 34131 35966 36456 45508 53949 61656 68262 71932 79639 91016 107898 136524 143864 159278 215796 238917 273048 318556 431592 477834 557473 637112 955668 1114946 1672419 1911336 2229892 3344838 4459784 6689676 13379352