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13010960 = 2451031579
BaseRepresentation
bin110001101000…
…100000010000
3220111000200102
4301220200100
511312322320
61142511532
7215406554
oct61504020
926430612
1013010960
117387366
1244355a8
1329071c1
141a29864
151220175
hexc68810

13010960 has 40 divisors (see below), whose sum is σ = 30563520. Its totient is φ = 5150592.

The previous prime is 13010951. The next prime is 13010969. The reversal of 13010960 is 6901031.

It is an interprime number because it is at equal distance from previous prime (13010951) and next prime (13010969).

It is a tau number, because it is divible by the number of its divisors (40).

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

It is not an unprimeable number, because it can be changed into a prime (13010969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7451 + ... + 9029.

It is an arithmetic number, because the mean of its divisors is an integer number (764088).

Almost surely, 213010960 is an apocalyptic number.

13010960 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 13010960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15281760).

13010960 is an abundant number, since it is smaller than the sum of its proper divisors (17552560).

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

13010960 is a wasteful number, since it uses less digits than its factorization.

13010960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1689 counting only the distinct ones).

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

The square root of 13010960 is about 3607.0708337930. The cubic root of 13010960 is about 235.1995287448.

Adding to 13010960 its reverse (6901031), we get a palindrome (19911991).

The spelling of 13010960 in words is "thirteen million, ten thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 412 515 824 1030 1579 1648 2060 3158 4120 6316 7895 8240 12632 15790 25264 31580 63160 126320 162637 325274 650548 813185 1301096 1626370 2602192 3252740 6505480 13010960