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130178176 = 273153619
BaseRepresentation
bin1111100001001…
…01110010000000
3100001221201212221
413300211302000
5231311200201
620530100424
73140332132
oct760456200
9301851787
10130178176
1167533877
123771a714
1320c7b90b
1413409052
15b6664a1
hex7c25c80

130178176 has 64 divisors (see below), whose sum is σ = 273196800. Its totient is φ = 61701120.

The previous prime is 130178159. The next prime is 130178189. The reversal of 130178176 is 671871031.

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

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 7 ways as a sum of consecutive naturals, for example, 209995 + ... + 210613.

It is an arithmetic number, because the mean of its divisors is an integer number (4268700).

Almost surely, 2130178176 is an apocalyptic number.

130178176 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 130178176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136598400).

130178176 is an abundant number, since it is smaller than the sum of its proper divisors (143018624).

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

130178176 is an equidigital number, since it uses as much as digits as its factorization.

130178176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

The square root of 130178176 is about 11409.5651100294. The cubic root of 130178176 is about 506.8110330379.

The spelling of 130178176 in words is "one hundred thirty million, one hundred seventy-eight thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 31 32 53 62 64 106 124 128 212 248 424 496 619 848 992 1238 1643 1696 1984 2476 3286 3392 3968 4952 6572 6784 9904 13144 19189 19808 26288 32807 38378 39616 52576 65614 76756 79232 105152 131228 153512 210304 262456 307024 524912 614048 1017017 1049824 1228096 2034034 2099648 2456192 4068068 4199296 8136136 16272272 32544544 65089088 130178176