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130470496 = 2513476673
BaseRepresentation
bin1111100011011…
…01001001100000
3100002111120212121
413301231021200
5231400023441
620540234024
73142660312
oct761551140
9302446777
10130470496
1167713462
123783b914
13210519a0
14134837b2
15b6c2dd1
hex7c6d260

130470496 has 48 divisors (see below), whose sum is σ = 282550464. Its totient is φ = 58927104.

The previous prime is 130470481. The next prime is 130470503. The reversal of 130470496 is 694074031.

It is a happy number.

It is a super-3 number, since 3×1304704963 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16216 + ... + 22888.

It is an arithmetic number, because the mean of its divisors is an integer number (5886468).

Almost surely, 2130470496 is an apocalyptic number.

130470496 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 130470496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141275232).

130470496 is an abundant number, since it is smaller than the sum of its proper divisors (152079968).

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

130470496 is a wasteful number, since it uses less digits than its factorization.

130470496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6743 (or 6735 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 130470496 is about 11422.3682308005. The cubic root of 130470496 is about 507.1901038647.

The spelling of 130470496 in words is "one hundred thirty million, four hundred seventy thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 47 52 94 104 188 208 376 416 611 752 1222 1504 2444 4888 6673 9776 13346 19552 26692 53384 86749 106768 173498 213536 313631 346996 627262 693992 1254524 1387984 2509048 2775968 4077203 5018096 8154406 10036192 16308812 32617624 65235248 130470496