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540842596 = 22723537817
BaseRepresentation
bin100000001111001…
…001101001100100
31101200200122120021
4200033021221210
52101423430341
6125400044524
716255041400
oct4017115144
91350618507
10540842596
11258323058
12131163744
1388085308
1451b88100
15327349d1
hex203c9a64

540842596 has 36 divisors (see below), whose sum is σ = 1104261228. Its totient is φ = 231103488.

The previous prime is 540842567. The next prime is 540842623. The reversal of 540842596 is 695248045.

It can be written as a sum of positive squares in 2 ways, for example, as 70560000 + 470282596 = 8400^2 + 21686^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65280 + ... + 73096.

It is an arithmetic number, because the mean of its divisors is an integer number (30673923).

Almost surely, 2540842596 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 540842596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552130614).

540842596 is an abundant number, since it is smaller than the sum of its proper divisors (563418632).

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

540842596 is a wasteful number, since it uses less digits than its factorization.

540842596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8188 (or 8179 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The square root of 540842596 is about 23256.0227898065. The cubic root of 540842596 is about 814.7486125447.

The spelling of 540842596 in words is "five hundred forty million, eight hundred forty-two thousand, five hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 98 196 353 706 1412 2471 4942 7817 9884 15634 17297 31268 34594 54719 69188 109438 218876 383033 766066 1532132 2759401 5518802 11037604 19315807 38631614 77263228 135210649 270421298 540842596