Search a number
-
+
12956130 = 23251123569
BaseRepresentation
bin110001011011…
…000111100010
3220101020110200
4301123013202
511304044010
61141410030
7215060655
oct61330742
926336420
1012956130
11734a150
124409916
1328b8265
141a1389c
15120dcc0
hexc5b1e2

12956130 has 96 divisors (see below), whose sum is σ = 38413440. Its totient is φ = 2999040.

The previous prime is 12956117. The next prime is 12956131. The reversal of 12956130 is 3165921.

12956130 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×129561302 = 335722609153800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12956094 and 12956103.

It is not an unprimeable number, because it can be changed into a prime (12956131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22486 + ... + 23054.

It is an arithmetic number, because the mean of its divisors is an integer number (400140).

Almost surely, 212956130 is an apocalyptic number.

12956130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12956130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19206720).

12956130 is an abundant number, since it is smaller than the sum of its proper divisors (25457310).

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

12956130 is a wasteful number, since it uses less digits than its factorization.

12956130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 12956130 is about 3599.4624598681. The cubic root of 12956130 is about 234.8686756830.

The spelling of 12956130 in words is "twelve million, nine hundred fifty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 30 33 45 46 55 66 69 90 99 110 115 138 165 198 207 230 253 330 345 414 495 506 569 690 759 990 1035 1138 1265 1518 1707 2070 2277 2530 2845 3414 3795 4554 5121 5690 6259 7590 8535 10242 11385 12518 13087 17070 18777 22770 25605 26174 31295 37554 39261 51210 56331 62590 65435 78522 93885 112662 117783 130870 143957 187770 196305 235566 281655 287914 392610 431871 563310 588915 719785 863742 1177830 1295613 1439570 2159355 2591226 4318710 6478065 12956130