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13301120 = 27572969
BaseRepresentation
bin110010101111…
…010110000000
3221000202201002
4302233112000
511401113440
61153031132
7221025530
oct62572600
927022632
1013301120
117565368
1245554a8
1329a92b1
141aa34c0
15127b115
hexcaf580

13301120 has 64 divisors (see below), whose sum is σ = 36352800. Its totient is φ = 4558848.

The previous prime is 13301051. The next prime is 13301129. The reversal of 13301120 is 2110331.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13301129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2996 + ... + 5964.

Almost surely, 213301120 is an apocalyptic number.

13301120 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 13301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18176400).

13301120 is an abundant number, since it is smaller than the sum of its proper divisors (23051680).

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

13301120 is an equidigital number, since it uses as much as digits as its factorization.

13301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 2983 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 13301120 is about 3647.0700569087. The cubic root of 13301120 is about 236.9351006522.

Adding to 13301120 its reverse (2110331), we get a palindrome (15411451).

The spelling of 13301120 in words is "thirteen million, three hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 2969 4480 5938 11876 14845 20783 23752 29690 41566 47504 59380 83132 95008 103915 118760 166264 190016 207830 237520 332528 380032 415660 475040 665056 831320 950080 1330112 1662640 1900160 2660224 3325280 6650560 13301120