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7130880 = 28325619
BaseRepresentation
bin11011001100111100000000
3111102021201200
4123030330000
53311142010
6412501200
7114416511
oct33147400
914367650
107130880
114030599
12247a800
131628973
14d38a08
1595ccc0
hex6ccf00

7130880 has 108 divisors (see below), whose sum is σ = 24711960. Its totient is φ = 1898496.

The previous prime is 7130869. The next prime is 7130881. The reversal of 7130880 is 880317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7130881) 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, 11211 + ... + 11829.

Almost surely, 27130880 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 7130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12355980).

7130880 is an abundant number, since it is smaller than the sum of its proper divisors (17581080).

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

7130880 is a wasteful number, since it uses less digits than its factorization.

7130880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 7130880 is about 2670.3707607746. The cubic root of 7130880 is about 192.4779757790.

The spelling of 7130880 in words is "seven million, one hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 619 640 720 768 960 1152 1238 1280 1440 1857 1920 2304 2476 2880 3095 3714 3840 4952 5571 5760 6190 7428 9285 9904 11142 11520 12380 14856 18570 19808 22284 24760 27855 29712 37140 39616 44568 49520 55710 59424 74280 79232 89136 99040 111420 118848 148560 158464 178272 198080 222840 237696 297120 356544 396160 445680 475392 594240 713088 792320 891360 1188480 1426176 1782720 2376960 3565440 7130880