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13056040 = 2351941419
BaseRepresentation
bin110001110011…
…100000101000
3220120022112001
4301303200220
511320243130
61143500344
7215655154
oct61634050
926508461
1013056040
117408218
1244576b4
13292188a
141a3c064
15122d6ca
hexc73828

13056040 has 64 divisors (see below), whose sum is σ = 31752000. Its totient is φ = 4815360.

The previous prime is 13056037. The next prime is 13056077. The reversal of 13056040 is 4065031.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 13055999 and 13056017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30951 + ... + 31369.

It is an arithmetic number, because the mean of its divisors is an integer number (496125).

Almost surely, 213056040 is an apocalyptic number.

13056040 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 13056040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15876000).

13056040 is an abundant number, since it is smaller than the sum of its proper divisors (18695960).

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

13056040 is a wasteful number, since it uses less digits than its factorization.

13056040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 13056040 is about 3613.3142680924. The cubic root of 13056040 is about 235.4708531475.

The spelling of 13056040 in words is "thirteen million, fifty-six thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 41 76 82 95 152 164 190 205 328 380 410 419 760 779 820 838 1558 1640 1676 2095 3116 3352 3895 4190 6232 7790 7961 8380 15580 15922 16760 17179 31160 31844 34358 39805 63688 68716 79610 85895 137432 159220 171790 318440 326401 343580 652802 687160 1305604 1632005 2611208 3264010 6528020 13056040