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13296120 = 2335179619
BaseRepresentation
bin110010101110…
…000111111000
3221000111211220
4302232013320
511400433440
61152552040
7221005125
oct62560770
927014756
1013296120
117561632
124552620
1329a6c36
141aa174c
1512798d0
hexcae1f8

13296120 has 64 divisors (see below), whose sum is σ = 40176000. Its totient is φ = 3520128.

The previous prime is 13296119. The next prime is 13296133. The reversal of 13296120 is 2169231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21171 + ... + 21789.

It is an arithmetic number, because the mean of its divisors is an integer number (627750).

Almost surely, 213296120 is an apocalyptic number.

13296120 is a gapful number since it is divisible by the number (10) 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 13296120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20088000).

13296120 is an abundant number, since it is smaller than the sum of its proper divisors (26879880).

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

13296120 is a wasteful number, since it uses less digits than its factorization.

13296120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 13296120 is about 3646.3845107174. The cubic root of 13296120 is about 236.9054083160.

The spelling of 13296120 in words is "thirteen million, two hundred ninety-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 179 358 537 619 716 895 1074 1238 1432 1790 1857 2148 2476 2685 3095 3580 3714 4296 4952 5370 6190 7160 7428 9285 10740 12380 14856 18570 21480 24760 37140 74280 110801 221602 332403 443204 554005 664806 886408 1108010 1329612 1662015 2216020 2659224 3324030 4432040 6648060 13296120