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30537032260 = 2257253211093
BaseRepresentation
bin11100011100001001…
…100010001001000100
32220211011210222010211
4130130021202021010
51000014440013020
622010054325204
72130510330400
oct343411421104
986734728124
1030537032260
1111a503a4349
125b02959804
132b58714c77
1416998c0100
15bdad5985a
hex71c262244

30537032260 has 108 divisors (see below), whose sum is σ = 76038520068. Its totient is φ = 10271369472.

The previous prime is 30537032257. The next prime is 30537032269. The reversal of 30537032260 is 6223073503.

It can be written as a sum of positive squares in 6 ways, for example, as 3398423616 + 27138608644 = 58296^2 + 164738^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30537032269) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2747274 + ... + 2758366.

It is an arithmetic number, because the mean of its divisors is an integer number (704060371).

Almost surely, 230537032260 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 30537032260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38019260034).

30537032260 is an abundant number, since it is smaller than the sum of its proper divisors (45501487808).

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

30537032260 is a wasteful number, since it uses less digits than its factorization.

30537032260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11222 (or 11160 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 31.

The spelling of 30537032260 in words is "thirty billion, five hundred thirty-seven million, thirty-two thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 53 70 98 106 140 196 212 245 265 371 490 530 742 980 1060 1484 1855 2597 2809 3710 5194 5618 7420 10388 11093 11236 12985 14045 19663 22186 25970 28090 39326 44372 51940 55465 56180 77651 78652 98315 110930 137641 155302 196630 221860 275282 310604 388255 393260 543557 550564 587929 688205 776510 1087114 1175858 1376410 1553020 2174228 2351716 2717785 2752820 2939645 4115503 5435570 5879290 8231006 10871140 11758580 16462012 20577515 28808521 31160237 41155030 57617042 62320474 82310060 115234084 124640948 144042605 155801185 218121659 288085210 311602370 436243318 576170420 623204740 872486636 1090608295 1526851613 2181216590 3053703226 4362433180 6107406452 7634258065 15268516130 30537032260