Search a number
-
+
130012192 = 25172310391
BaseRepresentation
bin1111011111111…
…01010000100000
3100001122022012101
413233331100200
5231240342232
620522340144
73136041202
oct757752040
9301568171
10130012192
11674300a2
123765a654
1320c211bb
14133a4772
15b6321e7
hex7bfd420

130012192 has 48 divisors (see below), whose sum is σ = 282828672. Its totient is φ = 58516480.

The previous prime is 130012187. The next prime is 130012213. The reversal of 130012192 is 291210031.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7317 + ... + 17707.

It is an arithmetic number, because the mean of its divisors is an integer number (5892264).

Almost surely, 2130012192 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 130012192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141414336).

130012192 is an abundant number, since it is smaller than the sum of its proper divisors (152816480).

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

130012192 is a wasteful number, since it uses less digits than its factorization.

130012192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10441 (or 10433 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 130012192 is about 11402.2888930249. The cubic root of 130012192 is about 506.5955378759.

The spelling of 130012192 in words is "one hundred thirty million, twelve thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 17 23 32 34 46 68 92 136 184 272 368 391 544 736 782 1564 3128 6256 10391 12512 20782 41564 83128 166256 176647 238993 332512 353294 477986 706588 955972 1413176 1911944 2826352 3823888 4062881 5652704 7647776 8125762 16251524 32503048 65006096 130012192