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13072040 = 2352959191
BaseRepresentation
bin110001110111…
…011010101000
3220121010110122
4301313122220
511321301130
61144102412
7216052622
oct61673250
926533418
1013072040
117419243
124464a08
132928c47
141a43c12
1512332e5
hexc776a8

13072040 has 64 divisors (see below), whose sum is σ = 31104000. Its totient is φ = 4936960.

The previous prime is 13072021. The next prime is 13072067. The reversal of 13072040 is 4027031.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68345 + ... + 68535.

It is an arithmetic number, because the mean of its divisors is an integer number (486000).

Almost surely, 213072040 is an apocalyptic number.

13072040 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 13072040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552000).

13072040 is an abundant number, since it is smaller than the sum of its proper divisors (18031960).

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

13072040 is a wasteful number, since it uses less digits than its factorization.

13072040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 13072040 is about 3615.5276240128. The cubic root of 13072040 is about 235.5670026609.

Adding to 13072040 its reverse (4027031), we get a palindrome (17099071).

The spelling of 13072040 in words is "thirteen million, seventy-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 59 116 118 145 191 232 236 290 295 382 472 580 590 764 955 1160 1180 1528 1711 1910 2360 3422 3820 5539 6844 7640 8555 11078 11269 13688 17110 22156 22538 27695 34220 44312 45076 55390 56345 68440 90152 110780 112690 221560 225380 326801 450760 653602 1307204 1634005 2614408 3268010 6536020 13072040