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130566144 = 211379269
BaseRepresentation
bin1111100100001…
…00100000000000
3100002200110002010
413302010200000
5231411104034
620542252520
73143536212
oct762044000
9302613063
10130566144
1167779305
1237887140
1321086397
14134aa5b2
15b6e13e9
hex7c84800

130566144 has 96 divisors (see below), whose sum is σ = 353808000. Its totient is φ = 42811392.

The previous prime is 130566133. The next prime is 130566173. The reversal of 130566144 is 441665031.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 485242 + ... + 485510.

It is an arithmetic number, because the mean of its divisors is an integer number (3685500).

Almost surely, 2130566144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130566144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176904000).

130566144 is an abundant number, since it is smaller than the sum of its proper divisors (223241856).

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

130566144 is an equidigital number, since it uses as much as digits as its factorization.

130566144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 130566144 is about 11426.5543362818. The cubic root of 130566144 is about 507.3140140480.

The spelling of 130566144 in words is "one hundred thirty million, five hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 269 316 384 474 512 538 632 768 807 948 1024 1076 1264 1536 1614 1896 2048 2152 2528 3072 3228 3792 4304 5056 6144 6456 7584 8608 10112 12912 15168 17216 20224 21251 25824 30336 34432 40448 42502 51648 60672 63753 68864 80896 85004 103296 121344 127506 137728 161792 170008 206592 242688 255012 275456 340016 413184 485376 510024 550912 680032 826368 1020048 1360064 1652736 2040096 2720128 4080192 5440256 8160384 10880512 16320768 21761024 32641536 43522048 65283072 130566144