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1160313630 = 23572532281
BaseRepresentation
bin100010100101000…
…1111101100011110
32222212100001001220
41011022033230132
54334020014010
6311045314210
740516334400
oct10512175436
92885301056
101160313630
11545a6a893
12284705966
1315650a618
14b015cb70
156bceb970
hex4528fb1e

1160313630 has 144 divisors (see below), whose sum is σ = 3313430064. Its totient is φ = 259284480.

The previous prime is 1160313619. The next prime is 1160313659. The reversal of 1160313630 is 363130611.

1160313630 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1160313630.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4129090 + ... + 4129370.

It is an arithmetic number, because the mean of its divisors is an integer number (23009931).

Almost surely, 21160313630 is an apocalyptic number.

1160313630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1160313630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656715032).

1160313630 is an abundant number, since it is smaller than the sum of its proper divisors (2153116434).

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

1160313630 is a wasteful number, since it uses less digits than its factorization.

1160313630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 1160313630 is about 34063.3766676177. The cubic root of 1160313630 is about 1050.8122603774.

The spelling of 1160313630 in words is "one billion, one hundred sixty million, three hundred thirteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 53 70 98 105 106 147 159 210 245 265 281 294 318 371 490 530 562 735 742 795 843 1113 1405 1470 1590 1686 1855 1967 2226 2597 2809 2810 3710 3934 4215 5194 5565 5618 5901 7791 8427 8430 9835 11130 11802 12985 13769 14045 14893 15582 16854 19663 19670 25970 27538 28090 29505 29786 38955 39326 41307 42135 44679 58989 59010 68845 74465 77910 82614 84270 89358 98315 104251 117978 137641 137690 148930 196630 206535 208502 223395 275282 294945 312753 412923 413070 446790 521255 589890 625506 688205 729757 789329 825846 1042510 1376410 1459514 1563765 1578658 2064615 2189271 2367987 3127530 3648785 3946645 4129230 4378542 4735974 5525303 7297570 7893290 10946355 11050606 11839935 16575909 21892710 23679870 27626515 33151818 38677121 55253030 77354242 82879545 116031363 165759090 193385605 232062726 386771210 580156815 1160313630