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13004180 = 2257293203
BaseRepresentation
bin110001100110…
…110110010100
3220110200101022
4301212312110
511312113210
61142420312
7215351030
oct61466624
926420338
1013004180
117382262
124431698
1329040a7
141a271c0
15121d155
hexc66d94

13004180 has 48 divisors (see below), whose sum is σ = 32296320. Its totient is φ = 4303488.

The previous prime is 13004161. The next prime is 13004197. The reversal of 13004180 is 8140031.

It is a happy number.

13004180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 2459 + ... + 5661.

It is an arithmetic number, because the mean of its divisors is an integer number (672840).

Almost surely, 213004180 is an apocalyptic number.

13004180 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 13004180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16148160).

13004180 is an abundant number, since it is smaller than the sum of its proper divisors (19292140).

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

13004180 is a wasteful number, since it uses less digits than its factorization.

13004180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3248 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 13004180 is about 3606.1308905807. The cubic root of 13004180 is about 235.1586675561.

The spelling of 13004180 in words is "thirteen million, four thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 3203 4060 6406 12812 16015 22421 32030 44842 64060 89684 92887 112105 185774 224210 371548 448420 464435 650209 928870 1300418 1857740 2600836 3251045 6502090 13004180