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7130208 = 253172257
BaseRepresentation
bin11011001100110001100000
3111102020210210
4123030301200
53311131313
6412454120
7114414531
oct33146140
914366723
107130208
114030038
12247a340
131628577
14d38688
1595c9c3
hex6ccc60

7130208 has 72 divisors (see below), whose sum is σ = 19959912. Its totient is φ = 2228224.

The previous prime is 7130197. The next prime is 7130213. The reversal of 7130208 is 8020317.

It is a super-2 number, since 2×71302082 = 101679732246528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27616 + ... + 27872.

It is an arithmetic number, because the mean of its divisors is an integer number (277221).

Almost surely, 27130208 is an apocalyptic number.

7130208 is the 1542-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7130208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9979956).

7130208 is an abundant number, since it is smaller than the sum of its proper divisors (12829704).

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

7130208 is a wasteful number, since it uses less digits than its factorization.

7130208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 7130208 is about 2670.2449325858. The cubic root of 7130208 is about 192.4719293414.

The spelling of 7130208 in words is "seven million, one hundred thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 257 272 289 408 514 544 578 771 816 867 1028 1156 1542 1632 1734 2056 2312 3084 3468 4112 4369 4624 6168 6936 8224 8738 9248 12336 13107 13872 17476 24672 26214 27744 34952 52428 69904 74273 104856 139808 148546 209712 222819 297092 419424 445638 594184 891276 1188368 1782552 2376736 3565104 7130208