Search a number
-
+
130438656 = 293228307
BaseRepresentation
bin1111100011001…
…01011000000000
3100002102222012100
413301211120000
5231343014111
620535430400
73142465425
oct761453000
9302388170
10130438656
11676a1547
1237825400
132104034a
1413475d4c
15b6b8756
hex7c65600

130438656 has 60 divisors (see below), whose sum is σ = 376468092. Its totient is φ = 43478016.

The previous prime is 130438643. The next prime is 130438661. The reversal of 130438656 is 656834031.

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 130438656.

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 5 ways as a sum of consecutive naturals, for example, 9546 + ... + 18761.

Almost surely, 2130438656 is an apocalyptic number.

130438656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130438656 is an abundant number, since it is smaller than the sum of its proper divisors (246029436).

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

130438656 is an equidigital number, since it uses as much as digits as its factorization.

130438656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28331 (or 28312 counting only the distinct ones).

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

The square root of 130438656 is about 11420.9743892542. The cubic root of 130438656 is about 507.1488423095.

The spelling of 130438656 in words is "one hundred thirty million, four hundred thirty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 28307 56614 84921 113228 169842 226456 254763 339684 452912 509526 679368 905824 1019052 1358736 1811648 2038104 2717472 3623296 4076208 5434944 7246592 8152416 10869888 14493184 16304832 21739776 32609664 43479552 65219328 130438656