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7431130630 = 257117321811
BaseRepresentation
bin1101110101110111…
…00000111000000110
3201011212222112211101
412322323200320012
5110204332140010
63225214530314
7352102365610
oct67273407006
921155875741
107431130630
113173752480
12153480699a
13915727021
14506d05db0
152d75cb73a
hex1baee0e06

7431130630 has 96 divisors (see below), whose sum is σ = 16917527808. Its totient is φ = 2283206400.

The previous prime is 7431130547. The next prime is 7431130639. The reversal of 7431130630 is 360311347.

It is a happy number.

It is a super-3 number, since 3×74311306303 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7431130639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4102425 + ... + 4104235.

It is an arithmetic number, because the mean of its divisors is an integer number (176224248).

Almost surely, 27431130630 is an apocalyptic number.

7431130630 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7431130630 is an abundant number, since it is smaller than the sum of its proper divisors (9486397178).

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

7431130630 is a wasteful number, since it uses less digits than its factorization.

7431130630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 7431130630 is about 86204.0058813974. The cubic root of 7431130630 is about 1951.4239548871.

Adding to 7431130630 its reverse (360311347), we get a palindrome (7791441977).

The spelling of 7431130630 in words is "seven billion, four hundred thirty-one million, one hundred thirty thousand, six hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 73 77 110 146 154 365 385 511 730 770 803 1022 1606 1811 2555 3622 4015 5110 5329 5621 8030 9055 10658 11242 12677 18110 19921 25354 26645 28105 37303 39842 53290 56210 58619 63385 74606 99605 117238 126770 132203 139447 186515 199210 264406 278894 293095 373030 410333 586190 661015 697235 820666 925421 1322030 1394470 1454233 1850842 2051665 2908466 4103330 4627105 7271165 9254210 9650819 10179631 14542330 19301638 20359262 48254095 50898155 67555733 96508190 101796310 106159009 135111466 212318018 337778665 530795045 675557330 743113063 1061590090 1486226126 3715565315 7431130630