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13168320 = 2635112943
BaseRepresentation
bin110010001110…
…111011000000
3220210000112120
4302032323000
511332341240
61150124240
7216633414
oct62167300
926700476
1013168320
117484610
1244b0680
132960a09
141a6ad44
151251ad0
hexc8eec0

13168320 has 224 divisors, whose sum is σ = 48280320. Its totient is φ = 3010560.

The previous prime is 13168301. The next prime is 13168333. The reversal of 13168320 is 2386131.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306219 + ... + 306261.

Almost surely, 213168320 is an apocalyptic number.

13168320 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 13168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24140160).

13168320 is an abundant number, since it is smaller than the sum of its proper divisors (35112000).

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

13168320 is a wasteful number, since it uses less digits than its factorization.

13168320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 13168320 is about 3628.8179893734. The cubic root of 13168320 is about 236.1439321182.

The spelling of 13168320 in words is "thirteen million, one hundred sixty-eight thousand, three hundred twenty".