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13001960 = 235536133
BaseRepresentation
bin110001100110…
…010011101000
3220110120100002
4301212103220
511312030320
61142402132
7215341406
oct61462350
926416302
1013001960
117380624
124430348
13290308a
141a26476
15121c675
hexc664e8

13001960 has 32 divisors (see below), whose sum is σ = 29811240. Its totient is φ = 5101824.

The previous prime is 13001959. The next prime is 13001981. The reversal of 13001960 is 6910031.

It can be written as a sum of positive squares in 4 ways, for example, as 12974404 + 27556 = 3602^2 + 166^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 947 + ... + 5186.

Almost surely, 213001960 is an apocalyptic number.

13001960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13001960 is an abundant number, since it is smaller than the sum of its proper divisors (16809280).

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

13001960 is a wasteful number, since it uses less digits than its factorization.

13001960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6197 (or 6193 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 13001960 is about 3605.8230683160. The cubic root of 13001960 is about 235.1452851423.

Adding to 13001960 its reverse (6910031), we get a palindrome (19911991).

The spelling of 13001960 in words is "thirteen million, one thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 6133 12266 24532 30665 49064 61330 122660 245320 325049 650098 1300196 1625245 2600392 3250490 6500980 13001960