Search a number
-
+
130994304 = 273748733
BaseRepresentation
bin1111100111011…
…01000010000000
3100010111012101220
413303231002000
5232013304204
620555355040
73150301410
oct763550200
9303435356
10130994304
1167a40a61
1237a52a80
13211a622c
141357c640
15b7781d9
hex7ced080

130994304 has 64 divisors (see below), whose sum is σ = 397669440. Its totient is φ = 37426176.

The previous prime is 130994287. The next prime is 130994309. The reversal of 130994304 is 403499031.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (130994309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21679 + ... + 27054.

It is an arithmetic number, because the mean of its divisors is an integer number (6213585).

Almost surely, 2130994304 is an apocalyptic number.

130994304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

130994304 is an abundant number, since it is smaller than the sum of its proper divisors (266675136).

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

130994304 is an equidigital number, since it uses as much as digits as its factorization.

130994304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48757 (or 48745 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 130994304 is about 11445.2743086394. The cubic root of 130994304 is about 507.8679467454.

The spelling of 130994304 in words is "one hundred thirty million, nine hundred ninety-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 48733 97466 146199 194932 292398 341131 389864 584796 682262 779728 1023393 1169592 1364524 1559456 2046786 2339184 2729048 3118912 4093572 4678368 5458096 6237824 8187144 9356736 10916192 16374288 18713472 21832384 32748576 43664768 65497152 130994304