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4672260 = 22325101257
BaseRepresentation
bin10001110100101100000100
322210101010200
4101310230010
52144003020
6244050500
754466515
oct21645404
98711120
104672260
11270137a
121693a30
13c77868
14898a0c
15624590
hex474b04

4672260 has 72 divisors (see below), whose sum is σ = 14368536. Its totient is φ = 1228800.

The previous prime is 4672253. The next prime is 4672273. The reversal of 4672260 is 622764.

It can be written as a sum of positive squares in 4 ways, for example, as 3069504 + 1602756 = 1752^2 + 1266^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18052 + ... + 18308.

It is an arithmetic number, because the mean of its divisors is an integer number (199563).

Almost surely, 24672260 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 4672260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7184268).

4672260 is an abundant number, since it is smaller than the sum of its proper divisors (9696276).

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

4672260 is a wasteful number, since it uses less digits than its factorization.

4672260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4672260 is about 2161.5411168886. The cubic root of 4672260 is about 167.1766689056.

The spelling of 4672260 in words is "four million, six hundred seventy-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 257 303 404 505 514 606 771 909 1010 1028 1212 1285 1515 1542 1818 2020 2313 2570 3030 3084 3636 3855 4545 4626 5140 6060 7710 9090 9252 11565 15420 18180 23130 25957 46260 51914 77871 103828 129785 155742 233613 259570 311484 389355 467226 519140 778710 934452 1168065 1557420 2336130 4672260