Search a number
-
+
130358640 = 2435543161
BaseRepresentation
bin1111100010100…
…01110101110000
3100002021220102210
413301101311300
5231332434030
620534012120
73142013226
oct761216560
9302256383
10130358640
1167647415
12377a7040
1321012ab9
1413454b16
15b69ebb0
hex7c51d70

130358640 has 40 divisors (see below), whose sum is σ = 404112528. Its totient is φ = 34762240.

The previous prime is 130358629. The next prime is 130358653. The reversal of 130358640 is 46853031.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 130358598 and 130358607.

It is a congruent number.

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, 271341 + ... + 271820.

Almost surely, 2130358640 is an apocalyptic number.

130358640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130358640 is an abundant number, since it is smaller than the sum of its proper divisors (273753888).

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

130358640 is a wasteful number, since it uses less digits than its factorization.

130358640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543177 (or 543171 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 130358640 is about 11417.4708232603. The cubic root of 130358640 is about 507.0451196769.

The spelling of 130358640 in words is "one hundred thirty million, three hundred fifty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 543161 1086322 1629483 2172644 2715805 3258966 4345288 5431610 6517932 8147415 8690576 10863220 13035864 16294830 21726440 26071728 32589660 43452880 65179320 130358640