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653552130 = 2357112312301
BaseRepresentation
bin100110111101000…
…110101000000010
31200112202212222110
4212331012220002
52314302132010
6144503520150
722124046540
oct4675065002
91615685873
10653552130
11305a05430
12162a59056
13a5528a4a
1462b26d90
153c59a120
hex26f46a02

653552130 has 128 divisors (see below), whose sum is σ = 2040754176. Its totient is φ = 129888000.

The previous prime is 653552129. The next prime is 653552161. The reversal of 653552130 is 31255356.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46980 + ... + 59280.

It is an arithmetic number, because the mean of its divisors is an integer number (15943392).

Almost surely, 2653552130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 653552130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020377088).

653552130 is an abundant number, since it is smaller than the sum of its proper divisors (1387202046).

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

653552130 is a wasteful number, since it uses less digits than its factorization.

653552130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12352.

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 653552130 is about 25564.6656539842. The cubic root of 653552130 is about 867.8141852387.

The spelling of 653552130 in words is "six hundred fifty-three million, five hundred fifty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 23 30 33 35 42 46 55 66 69 70 77 105 110 115 138 154 161 165 210 230 231 253 322 330 345 385 462 483 506 690 759 770 805 966 1155 1265 1518 1610 1771 2310 2415 2530 3542 3795 4830 5313 7590 8855 10626 12301 17710 24602 26565 36903 53130 61505 73806 86107 123010 135311 172214 184515 258321 270622 282923 369030 405933 430535 516642 565846 676555 811866 848769 861070 947177 1291605 1353110 1414615 1697538 1894354 1980461 2029665 2583210 2829230 2841531 3112153 3960922 4059330 4243845 4735885 5683062 5941383 6224306 8487690 9336459 9471770 9902305 11882766 14207655 15560765 18672918 19804610 21785071 28415310 29706915 31121530 43570142 46682295 59413830 65355213 93364590 108925355 130710426 217850710 326776065 653552130