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6140542900 = 2252531158593
BaseRepresentation
bin1011011100000000…
…10011111110110100
3120211221111220021211
411232000103332310
5100033434333100
62453153051204
7305111516302
oct55600237664
916757456254
106140542900
1126711a3848
121234556b04
1376b23624b
14423755272
1525e14a1ba
hex16e013fb4

6140542900 has 36 divisors (see below), whose sum is σ = 13576404492. Its totient is φ = 2409871360.

The previous prime is 6140542879. The next prime is 6140542901. The reversal of 6140542900 is 92450416.

It can be written as a sum of positive squares in 6 ways, for example, as 452668176 + 5687874724 = 21276^2 + 75418^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6140542901) 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 11 ways as a sum of consecutive naturals, for example, 573997 + ... + 584596.

It is an arithmetic number, because the mean of its divisors is an integer number (377122347).

Almost surely, 26140542900 is an apocalyptic number.

It is an amenable number.

6140542900 is an abundant number, since it is smaller than the sum of its proper divisors (7435861592).

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

6140542900 is a wasteful number, since it uses less digits than its factorization.

6140542900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158660 (or 1158653 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 6140542900 is about 78361.6162416269. The cubic root of 6140542900 is about 1831.1992000569.

The spelling of 6140542900 in words is "six billion, one hundred forty million, five hundred forty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 1158593 2317186 4634372 5792965 11585930 23171860 28964825 57929650 61405429 115859300 122810858 245621716 307027145 614054290 1228108580 1535135725 3070271450 6140542900