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130919616 = 2632376143
BaseRepresentation
bin1111100110110…
…10110011000000
3100010100101221200
413303122303000
5232003411431
620554021200
73146540562
oct763326300
9303311850
10130919616
116799a933
1237a17800
132117b239
141355d332
15b760ee6
hex7cdacc0

130919616 has 84 divisors (see below), whose sum is σ = 385462272. Its totient is φ = 42453504.

The previous prime is 130919609. The next prime is 130919617. The reversal of 130919616 is 616919031.

130919616 is a `hidden beast` number, since 1 + 30 + 9 + 1 + 9 + 616 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (130919617) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18241 + ... + 24383.

Almost surely, 2130919616 is an apocalyptic number.

130919616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130919616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192731136).

130919616 is an abundant number, since it is smaller than the sum of its proper divisors (254542656).

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

130919616 is a wasteful number, since it uses less digits than its factorization.

130919616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6198 (or 6185 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 130919616 is about 11442.0110120555. The cubic root of 130919616 is about 507.7714060272.

The spelling of 130919616 in words is "one hundred thirty million, nine hundred nineteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 144 148 192 222 288 296 333 444 576 592 666 888 1184 1332 1776 2368 2664 3552 5328 6143 7104 10656 12286 18429 21312 24572 36858 49144 55287 73716 98288 110574 147432 196576 221148 227291 294864 393152 442296 454582 589728 681873 884592 909164 1179456 1363746 1769184 1818328 2045619 2727492 3538368 3636656 4091238 5454984 7273312 8182476 10909968 14546624 16364952 21819936 32729904 43639872 65459808 130919616