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13395900 = 2235276379
BaseRepresentation
bin110011000110…
…011110111100
3221012120201110
4303012132330
511412132100
61155042020
7221602050
oct63063674
927176643
1013395900
11761a5a1
1245a0310
132a1048b
141ac9c60
151299250
hexcc67bc

13395900 has 72 divisors (see below), whose sum is σ = 44302720. Its totient is φ = 3061440.

The previous prime is 13395859. The next prime is 13395923. The reversal of 13395900 is 959331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1090 + ... + 5289.

Almost surely, 213395900 is an apocalyptic number.

13395900 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 13395900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22151360).

13395900 is an abundant number, since it is smaller than the sum of its proper divisors (30906820).

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

13395900 is a wasteful number, since it uses less digits than its factorization.

13395900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6403 (or 6396 counting only the distinct ones).

The product of its (nonzero) digits is 3645, while the sum is 30.

The square root of 13395900 is about 3660.0409833771. The cubic root of 13395900 is about 237.4965465795.

The spelling of 13395900 in words is "thirteen million, three hundred ninety-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 6379 12758 19137 25516 31895 38274 44653 63790 76548 89306 95685 127580 133959 159475 178612 191370 223265 267918 318950 382740 446530 478425 535836 637900 669795 893060 956850 1116325 1339590 1913700 2232650 2679180 3348975 4465300 6697950 13395900