Search a number
-
+
130351896 = 2333797639
BaseRepresentation
bin1111100010100…
…00001100011000
3100002021120012000
413301100030120
5231332230041
620533521000
73141654453
oct761201430
9302246160
10130351896
1167642344
12377a3160
132100c9cc
141345249a
15b69cbb6
hex7c50318

130351896 has 64 divisors (see below), whose sum is σ = 366720000. Its totient is φ = 42895008.

The previous prime is 130351889. The next prime is 130351909. The reversal of 130351896 is 698153031.

It is a happy number.

130351896 is a `hidden beast` number, since 130 + 3 + 518 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 130351896.

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, 13245 + ... + 20883.

It is an arithmetic number, because the mean of its divisors is an integer number (5730000).

Almost surely, 2130351896 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 130351896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183360000).

130351896 is an abundant number, since it is smaller than the sum of its proper divisors (236368104).

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

130351896 is a wasteful number, since it uses less digits than its factorization.

130351896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7733 (or 7723 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 130351896 is about 11417.1754825789. The cubic root of 130351896 is about 507.0363756682.

The spelling of 130351896 in words is "one hundred thirty million, three hundred fifty-one thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 108 158 216 237 316 474 632 711 948 1422 1896 2133 2844 4266 5688 7639 8532 15278 17064 22917 30556 45834 61112 68751 91668 137502 183336 206253 275004 412506 550008 603481 825012 1206962 1650024 1810443 2413924 3620886 4827848 5431329 7241772 10862658 14483544 16293987 21725316 32587974 43450632 65175948 130351896