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540066720 = 25351125139
BaseRepresentation
bin100000001100001…
…100001110100000
31101122020020021010
4200030030032200
52101224113340
6125331300520
716245330354
oct4014141640
91348206233
10540066720
11257943136
12130a4a740
1387b7310b
1451a25464
153262eb80
hex2030c3a0

540066720 has 48 divisors (see below), whose sum is σ = 1701211680. Its totient is φ = 144017664.

The previous prime is 540066679. The next prime is 540066731. The reversal of 540066720 is 27660045.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 562090 + ... + 563049.

It is an arithmetic number, because the mean of its divisors is an integer number (35441910).

Almost surely, 2540066720 is an apocalyptic number.

It is an amenable number.

540066720 is an abundant number, since it is smaller than the sum of its proper divisors (1161144960).

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

540066720 is a wasteful number, since it uses less digits than its factorization.

540066720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125157 (or 1125149 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 540066720 is about 23239.3356187306. The cubic root of 540066720 is about 814.3588217350.

It can be divided in two parts, 54006 and 6720, that added together give a triangular number (60726 = T348).

The spelling of 540066720 in words is "five hundred forty million, sixty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1125139 2250278 3375417 4500556 5625695 6750834 9001112 11251390 13501668 16877085 18002224 22502780 27003336 33754170 36004448 45005560 54006672 67508340 90011120 108013344 135016680 180022240 270033360 540066720