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540546756 = 223172791973
BaseRepresentation
bin100000001110000…
…001011011000100
31101200010121202020
4200032001123010
52101334444011
6125345443140
716252400031
oct4016013304
91350117666
10540546756
11258140862
121310404b0
1387cb0769
1451b0c388
15326c7006
hex203816c4

540546756 has 72 divisors (see below), whose sum is σ = 1357480320. Its totient is φ = 167351808.

The previous prime is 540546733. The next prime is 540546767. The reversal of 540546756 is 657645045.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272986 + ... + 274958.

Almost surely, 2540546756 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 540546756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678740160).

540546756 is an abundant number, since it is smaller than the sum of its proper divisors (816933564).

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

540546756 is a wasteful number, since it uses less digits than its factorization.

540546756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The square root of 540546756 is about 23249.6614168895. The cubic root of 540546756 is about 814.6000300715.

The spelling of 540546756 in words is "five hundred forty million, five hundred forty-six thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 12 17 34 51 68 79 102 158 204 237 289 316 474 578 867 948 1156 1343 1734 1973 2686 3468 3946 4029 5372 5919 7892 8058 11838 16116 22831 23676 33541 45662 67082 68493 91324 100623 134164 136986 155867 201246 273972 311734 402492 467601 570197 623468 935202 1140394 1710591 1870404 2280788 2649739 3421182 5299478 6842364 7949217 10598956 15898434 31796868 45045563 90091126 135136689 180182252 270273378 540546756