Search a number
-
+
12913140 = 2235832593
BaseRepresentation
bin110001010000…
…100111110100
3220022001111110
4301100213310
511301210030
61140435020
7214521432
oct61204764
926261443
1012913140
11731a919
1243a8a70
1328a1816
141a01d52
1512011b0
hexc509f4

12913140 has 48 divisors (see below), whose sum is σ = 36606528. Its totient is φ = 3400704.

The previous prime is 12913139. The next prime is 12913163. The reversal of 12913140 is 4131921.

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 15 ways as a sum of consecutive naturals, for example, 3684 + ... + 6276.

It is an arithmetic number, because the mean of its divisors is an integer number (762636).

Almost surely, 212913140 is an apocalyptic number.

12913140 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 12913140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18303264).

12913140 is an abundant number, since it is smaller than the sum of its proper divisors (23693388).

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

12913140 is a wasteful number, since it uses less digits than its factorization.

12913140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 12913140 is about 3593.4857728952. The cubic root of 12913140 is about 234.6086136456.

The spelling of 12913140 in words is "twelve million, nine hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 2593 4980 5186 7779 10372 12965 15558 25930 31116 38895 51860 77790 155580 215219 430438 645657 860876 1076095 1291314 2152190 2582628 3228285 4304380 6456570 12913140