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130315776 = 293372293
BaseRepresentation
bin1111100010001…
…11011000000000
3100002012201122020
413301013120000
5231330101101
620533041440
73141444243
oct761073000
9302181566
10130315776
1167618198
1237786280
1320cc9436
141344325a
15b692136
hex7c47600

130315776 has 80 divisors (see below), whose sum is σ = 356707824. Its totient is φ = 42246144.

The previous prime is 130315771. The next prime is 130315799. The reversal of 130315776 is 677513031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130315771) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 55686 + ... + 57978.

Almost surely, 2130315776 is an apocalyptic number.

130315776 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 130315776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178353912).

130315776 is an abundant number, since it is smaller than the sum of its proper divisors (226392048).

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

130315776 is an equidigital number, since it uses as much as digits as its factorization.

130315776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 130315776 is about 11415.5935456725. The cubic root of 130315776 is about 506.9895387436.

The spelling of 130315776 in words is "one hundred thirty million, three hundred fifteen thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 768 888 1184 1536 1776 2293 2368 3552 4586 4736 6879 7104 9172 9472 13758 14208 18344 18944 27516 28416 36688 55032 56832 73376 84841 110064 146752 169682 220128 254523 293504 339364 440256 509046 587008 678728 880512 1018092 1174016 1357456 1761024 2036184 2714912 3522048 4072368 5429824 8144736 10859648 16289472 21719296 32578944 43438592 65157888 130315776