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540145056 = 253114710883
BaseRepresentation
bin100000001100011…
…111010110100000
31101122101012201110
4200030133112200
52101234120211
6125333103320
716246104633
oct4014372640
91348335643
10540145056
11257996a80
12130a87b40
1387b9c979
1451a45c1a
1532647ea6
hex2031f5a0

540145056 has 96 divisors (see below), whose sum is σ = 1579834368. Its totient is φ = 160183040.

The previous prime is 540145049. The next prime is 540145061. The reversal of 540145056 is 650541045.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44191 + ... + 55073.

It is an arithmetic number, because the mean of its divisors is an integer number (16456608).

Almost surely, 2540145056 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 540145056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789917184).

540145056 is an abundant number, since it is smaller than the sum of its proper divisors (1039689312).

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

540145056 is a wasteful number, since it uses less digits than its factorization.

540145056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10954 (or 10946 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 540145056 is about 23241.0209758522. The cubic root of 540145056 is about 814.3981937398.

The spelling of 540145056 in words is "five hundred forty million, one hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 66 88 94 96 132 141 176 188 264 282 352 376 517 528 564 752 1034 1056 1128 1504 1551 2068 2256 3102 4136 4512 6204 8272 10883 12408 16544 21766 24816 32649 43532 49632 65298 87064 119713 130596 174128 239426 261192 348256 359139 478852 511501 522384 718278 957704 1023002 1044768 1436556 1534503 1915408 2046004 2873112 3069006 3830816 4092008 5626511 5746224 6138012 8184016 11253022 11492448 12276024 16368032 16879533 22506044 24552048 33759066 45012088 49104096 67518132 90024176 135036264 180048352 270072528 540145056