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2730135564 = 2233136729023
BaseRepresentation
bin1010001010111010…
…1001000000001100
321001021020020221000
42202232221000030
521042403314224
61130524140300
7124440524622
oct24256510014
97037206830
102730135564
1111810aa292
12642397690
13346808340
141bc839512
1510ea390c9
hexa2ba900c

2730135564 has 96 divisors (see below), whose sum is σ = 7736637440. Its totient is φ = 827475264.

The previous prime is 2730135563. The next prime is 2730135599. The reversal of 2730135564 is 4655310372.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2730135563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79557 + ... + 108579.

Almost surely, 22730135564 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 2730135564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868318720).

2730135564 is an abundant number, since it is smaller than the sum of its proper divisors (5006501876).

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

2730135564 is a wasteful number, since it uses less digits than its factorization.

2730135564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29116 (or 29108 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 2730135564 is about 52250.6991723556. The cubic root of 2730135564 is about 1397.6381203365.

The spelling of 2730135564 in words is "two billion, seven hundred thirty million, one hundred thirty-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 67 78 108 117 134 156 201 234 268 351 402 468 603 702 804 871 1206 1404 1742 1809 2412 2613 3484 3618 5226 7236 7839 10452 15678 23517 29023 31356 47034 58046 87069 94068 116092 174138 261207 348276 377299 522414 754598 783621 1044828 1131897 1509196 1567242 1944541 2263794 3134484 3395691 3889082 4527588 5833623 6791382 7778164 10187073 11667246 13582764 17500869 20374146 23334492 25279033 35001738 40748292 50558066 52502607 70003476 75837099 101116132 105005214 151674198 210010428 227511297 303348396 455022594 682533891 910045188 1365067782 2730135564