Search a number
-
+
12701964 = 22311412347
BaseRepresentation
bin110000011101…
…000100001100
3212220022211010
4300131010030
511222430324
61132125220
7212651652
oct60350414
925808733
1012701964
1171961a0
124306810
132829672
141988dd2
1511ad829
hexc1d10c

12701964 has 48 divisors (see below), whose sum is σ = 33134976. Its totient is φ = 3753600.

The previous prime is 12701963. The next prime is 12701981. The reversal of 12701964 is 46910721.

It is a happy number.

It is a super-2 number, since 2×127019642 = 322679778914592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12701963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4239 + ... + 6585.

It is an arithmetic number, because the mean of its divisors is an integer number (690312).

Almost surely, 212701964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12701964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16567488).

12701964 is an abundant number, since it is smaller than the sum of its proper divisors (20433012).

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

12701964 is a wasteful number, since it uses less digits than its factorization.

12701964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 12701964 is about 3563.9814814334. The cubic root of 12701964 is about 233.3226815999.

The spelling of 12701964 in words is "twelve million, seven hundred one thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1353 1804 2347 2706 4694 5412 7041 9388 14082 25817 28164 51634 77451 96227 103268 154902 192454 288681 309804 384908 577362 1058497 1154724 2116994 3175491 4233988 6350982 12701964