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13376352 = 2531153239
BaseRepresentation
bin110011000001…
…101101100000
3221011120220110
4303001231200
511411020402
61154411320
7221461053
oct63015540
927146813
1013376352
117606940
124590b40
132a04602
141ac2a9a
15129356c
hexcc1b60

13376352 has 96 divisors (see below), whose sum is σ = 39191040. Its totient is φ = 3960320.

The previous prime is 13376309. The next prime is 13376357. The reversal of 13376352 is 25367331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13376357) 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, 55849 + ... + 56087.

It is an arithmetic number, because the mean of its divisors is an integer number (408240).

Almost surely, 213376352 is an apocalyptic number.

13376352 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 13376352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19595520).

13376352 is an abundant number, since it is smaller than the sum of its proper divisors (25814688).

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

13376352 is a wasteful number, since it uses less digits than its factorization.

13376352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 308 counting only the distinct ones).

The product of its digits is 11340, while the sum is 30.

The square root of 13376352 is about 3657.3695465457. The cubic root of 13376352 is about 237.3809678687.

The spelling of 13376352 in words is "thirteen million, three hundred seventy-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 66 88 96 106 132 159 176 212 239 264 318 352 424 478 528 583 636 717 848 956 1056 1166 1272 1434 1696 1749 1912 2332 2544 2629 2868 3498 3824 4664 5088 5258 5736 6996 7648 7887 9328 10516 11472 12667 13992 15774 18656 21032 22944 25334 27984 31548 38001 42064 50668 55968 63096 76002 84128 101336 126192 139337 152004 202672 252384 278674 304008 405344 418011 557348 608016 836022 1114696 1216032 1672044 2229392 3344088 4458784 6688176 13376352