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540033084 = 2232176911277
BaseRepresentation
bin100000001100000…
…100000000111100
31101122011112010100
4200030010000330
52101222024314
6125330441100
716245130323
oct4014040074
91348145110
10540033084
1125791a938
12130a33190
1387b60a06
1451a170ba
1532624c09
hex2030403c

540033084 has 72 divisors (see below), whose sum is σ = 1448607888. Its totient is φ = 169044480.

The previous prime is 540032963. The next prime is 540033089. The reversal of 540033084 is 480330045.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540033089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422254 + ... + 423530.

It is an arithmetic number, because the mean of its divisors is an integer number (20119554).

Almost surely, 2540033084 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 540033084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724303944).

540033084 is an abundant number, since it is smaller than the sum of its proper divisors (908574804).

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

540033084 is a wasteful number, since it uses less digits than its factorization.

540033084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 540033084 is about 23238.6119206806. The cubic root of 540033084 is about 814.3419149708.

The spelling of 540033084 in words is "five hundred forty million, thirty-three thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 691 1277 1382 2073 2554 2764 3831 4146 5108 6219 7662 8292 11493 11747 12438 15324 21709 22986 23494 24876 35241 43418 45972 46988 65127 70482 86836 105723 130254 140964 195381 211446 260508 390762 422892 781524 882407 1764814 2647221 3529628 5294442 7941663 10588884 15000919 15883326 30001838 31766652 45002757 60003676 90005514 135008271 180011028 270016542 540033084