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7130480 = 2457217107
BaseRepresentation
bin11011001100110101110000
3111102021011212
4123030311300
53311133410
6412455252
7114415400
oct33146560
914367155
107130480
114030265
12247a528
131628726
14d38800
1595cb05
hex6ccd70

7130480 has 120 divisors (see below), whose sum is σ = 20610288. Its totient is φ = 2279424.

The previous prime is 7130479. The next prime is 7130489. The reversal of 7130480 is 840317.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7130489) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66587 + ... + 66693.

Almost surely, 27130480 is an apocalyptic number.

7130480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7130480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10305144).

7130480 is an abundant number, since it is smaller than the sum of its proper divisors (13479808).

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

7130480 is a wasteful number, since it uses less digits than its factorization.

7130480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 7130480 is about 2670.2958637574. The cubic root of 7130480 is about 192.4743767548.

Adding to 7130480 its reverse (840317), we get a palindrome (7970797).

The spelling of 7130480 in words is "seven million, one hundred thirty thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 49 56 68 70 80 85 98 107 112 119 136 140 170 196 214 238 245 272 280 340 392 428 476 490 535 560 595 680 749 784 833 856 952 980 1070 1190 1360 1498 1666 1712 1819 1904 1960 2140 2380 2996 3332 3638 3745 3920 4165 4280 4760 5243 5992 6664 7276 7490 8330 8560 9095 9520 10486 11984 12733 13328 14552 14980 16660 18190 20972 25466 26215 29104 29960 33320 36380 41944 50932 52430 59920 63665 66640 72760 83888 89131 101864 104860 127330 145520 178262 203728 209720 254660 356524 419440 445655 509320 713048 891310 1018640 1426096 1782620 3565240 7130480