Search a number
-
+
130653684 = 22327518467
BaseRepresentation
bin1111100100110…
…01110111110100
3100002211220011100
413302121313310
5231421404214
620544210100
73144352350
oct762316764
9302756140
10130653684
1167829057
1237909930
13210b7195
14134d0460
15b70c309
hex7c99df4

130653684 has 36 divisors (see below), whose sum is σ = 377444704. Its totient is φ = 37329552.

The previous prime is 130653667. The next prime is 130653689. The reversal of 130653684 is 486356031.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130653689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 258982 + ... + 259485.

Almost surely, 2130653684 is an apocalyptic number.

130653684 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

130653684 is an abundant number, since it is smaller than the sum of its proper divisors (246791020).

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

130653684 is a wasteful number, since it uses less digits than its factorization.

130653684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518484 (or 518479 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 130653684 is about 11430.3842455099. The cubic root of 130653684 is about 507.4273674436.

The spelling of 130653684 in words is "one hundred thirty million, six hundred fifty-three thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 518467 1036934 1555401 2073868 3110802 3629269 4666203 6221604 7258538 9332406 10887807 14517076 18664812 21775614 32663421 43551228 65326842 130653684