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9130464 = 253272647
BaseRepresentation
bin100010110101…
…000111100000
3122011212122100
4202311013200
54314133324
6523410400
7140415300
oct42650740
918155570
109130464
115176942
123083a00
131b78b55
1412d9600
15c054c9
hex8b51e0

9130464 has 108 divisors (see below), whose sum is σ = 30250584. Its totient is φ = 2604672.

The previous prime is 9130463. The next prime is 9130477. The reversal of 9130464 is 4640319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9130463) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13789 + ... + 14435.

It is an arithmetic number, because the mean of its divisors is an integer number (280098).

Almost surely, 29130464 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 9130464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15125292).

9130464 is an abundant number, since it is smaller than the sum of its proper divisors (21120120).

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

9130464 is a wasteful number, since it uses less digits than its factorization.

9130464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 9130464 is about 3021.6657657656. The cubic root of 9130464 is about 209.0086609202.

The spelling of 9130464 in words is "nine million, one hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 647 672 784 882 1008 1176 1294 1568 1764 1941 2016 2352 2588 3528 3882 4529 4704 5176 5823 7056 7764 9058 10352 11646 13587 14112 15528 18116 20704 23292 27174 31056 31703 36232 40761 46584 54348 62112 63406 72464 81522 93168 95109 108696 126812 144928 163044 186336 190218 217392 253624 285327 326088 380436 434784 507248 570654 652176 760872 1014496 1141308 1304352 1521744 2282616 3043488 4565232 9130464