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13120296 = 2337292693
BaseRepresentation
bin110010000011…
…001100101000
3220200120122220
4302003030220
511324322141
61145114040
7216343410
oct62031450
926616586
1013120296
117451522
124488920
132944bb7
141a57640
151242766
hexc83328

13120296 has 64 divisors (see below), whose sum is σ = 38793600. Its totient is φ = 3618048.

The previous prime is 13120273. The next prime is 13120297. The reversal of 13120296 is 69202131.

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

It is not an unprimeable number, because it can be changed into a prime (13120297) 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, 3526 + ... + 6218.

It is an arithmetic number, because the mean of its divisors is an integer number (606150).

Almost surely, 213120296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13120296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19396800).

13120296 is an abundant number, since it is smaller than the sum of its proper divisors (25673304).

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

13120296 is a wasteful number, since it uses less digits than its factorization.

13120296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2734 counting only the distinct ones).

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

The square root of 13120296 is about 3622.1949146892. The cubic root of 13120296 is about 235.8565152898.

The spelling of 13120296 in words is "thirteen million, one hundred twenty thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 2693 4872 5386 8079 10772 16158 18851 21544 32316 37702 56553 64632 75404 78097 113106 150808 156194 226212 234291 312388 452424 468582 546679 624776 937164 1093358 1640037 1874328 2186716 3280074 4373432 6560148 13120296