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130466304 = 2932231231
BaseRepresentation
bin1111100011011…
…00001000000000
3100002111101010100
413301230020000
5231344410204
620540202400
73142642143
oct761541000
9302441110
10130466304
11677102a1
1237839400
132104cac7
141348205a
15b6c1a39
hex7c6c200

130466304 has 120 divisors (see below), whose sum is σ = 393224832. Its totient is φ = 41564160.

The previous prime is 130466299. The next prime is 130466309. The reversal of 130466304 is 403664031.

It is an interprime number because it is at equal distance from previous prime (130466299) and next prime (130466309).

It is not an unprimeable number, because it can be changed into a prime (130466309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105369 + ... + 106599.

Almost surely, 2130466304 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 130466304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196612416).

130466304 is an abundant number, since it is smaller than the sum of its proper divisors (262758528).

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

130466304 is a wasteful number, since it uses less digits than its factorization.

130466304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 130466304 is about 11422.1847297266. The cubic root of 130466304 is about 507.1846718226.

The spelling of 130466304 in words is "one hundred thirty million, four hundred sixty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 512 552 576 736 768 828 1104 1152 1231 1472 1536 1656 2208 2304 2462 2944 3312 3693 4416 4608 4924 5888 6624 7386 8832 9848 11079 11776 13248 14772 17664 19696 22158 26496 28313 29544 35328 39392 44316 52992 56626 59088 78784 84939 88632 105984 113252 118176 157568 169878 177264 226504 236352 254817 315136 339756 354528 453008 472704 509634 630272 679512 709056 906016 945408 1019268 1359024 1418112 1812032 1890816 2038536 2718048 2836224 3624064 4077072 5436096 5672448 7248128 8154144 10872192 14496256 16308288 21744384 32616576 43488768 65233152 130466304