Search a number
-
+
130063416 = 23371375651
BaseRepresentation
bin1111100000010…
…01110000111000
3100001201220110120
413300021300320
5231244012131
620523413240
73136343430
oct760116070
9301656416
10130063416
116746562a
1237684220
1320c3b602
14133b92c0
15b642496
hex7c09c38

130063416 has 64 divisors (see below), whose sum is σ = 374388480. Its totient is φ = 36883200.

The previous prime is 130063403. The next prime is 130063421. The reversal of 130063416 is 614360031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20191 + ... + 25841.

It is an arithmetic number, because the mean of its divisors is an integer number (5849820).

Almost surely, 2130063416 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 130063416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187194240).

130063416 is an abundant number, since it is smaller than the sum of its proper divisors (244325064).

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

130063416 is a wasteful number, since it uses less digits than its factorization.

130063416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5804 (or 5800 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 130063416 is about 11404.5348874910. The cubic root of 130063416 is about 506.6620609769.

The spelling of 130063416 in words is "one hundred thirty million, sixty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 137 168 274 411 548 822 959 1096 1644 1918 2877 3288 3836 5651 5754 7672 11302 11508 16953 22604 23016 33906 39557 45208 67812 79114 118671 135624 158228 237342 316456 474684 774187 949368 1548374 2322561 3096748 4645122 5419309 6193496 9290244 10838618 16257927 18580488 21677236 32515854 43354472 65031708 130063416