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540261264 = 243412711013
BaseRepresentation
bin100000001100111…
…011101110010000
31101122121010010110
4200030323232100
52101301330024
6125335401320
716250100504
oct4014735620
91348533113
10540261264
11257a66314
12130b23240
1387c1082a
1451a76304
153266c629
hex2033bb90

540261264 has 80 divisors (see below), whose sum is σ = 1436408064. Its totient is φ = 174873600.

The previous prime is 540261229. The next prime is 540261311. The reversal of 540261264 is 462162045.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532822 + ... + 533834.

Almost surely, 2540261264 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 540261264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718204032).

540261264 is an abundant number, since it is smaller than the sum of its proper divisors (896146800).

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

540261264 is a wasteful number, since it uses less digits than its factorization.

540261264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 540261264 is about 23243.5209036841. The cubic root of 540261264 is about 814.4565933604.

It can be divided in two parts, 5402 and 61264, that added together give a palindrome (66666).

The spelling of 540261264 in words is "five hundred forty million, two hundred sixty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 271 328 492 542 656 813 984 1013 1084 1626 1968 2026 2168 3039 3252 4052 4336 6078 6504 8104 11111 12156 13008 16208 22222 24312 33333 41533 44444 48624 66666 83066 88888 124599 133332 166132 177776 249198 266664 274523 332264 498396 533328 549046 664528 823569 996792 1098092 1647138 1993584 2196184 3294276 4392368 6588552 11255443 13177104 22510886 33766329 45021772 67532658 90043544 135065316 180087088 270130632 540261264