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540361360 = 24571187721
BaseRepresentation
bin100000001101010…
…100001010010000
31101122210012102201
4200031110022100
52101313030420
6125341452544
716250665360
oct4015241220
91348705381
10540361360
11258024540
12130b71154
1387c47266
1451aa09a0
153268c10a
hex20354290

540361360 has 80 divisors (see below), whose sum is σ = 1566364032. Its totient is φ = 168422400.

The previous prime is 540361319. The next prime is 540361361. The reversal of 540361360 is 63163045.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (540361361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37701 + ... + 50020.

Almost surely, 2540361360 is an apocalyptic number.

It is an amenable number.

540361360 is an abundant number, since it is smaller than the sum of its proper divisors (1026002672).

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

540361360 is a wasteful number, since it uses less digits than its factorization.

540361360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87752 (or 87746 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 540361360 is about 23245.6740061457. The cubic root of 540361360 is about 814.5068892811.

The spelling of 540361360 in words is "five hundred forty million, three hundred sixty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 87721 175442 350884 438605 614047 701768 877210 964931 1228094 1403536 1754420 1929862 2456188 3070235 3508840 3859724 4824655 4912376 6140470 6754517 7017680 7719448 9649310 9824752 12280940 13509034 15438896 19298620 24561880 27018068 33772585 38597240 49123760 54036136 67545170 77194480 108072272 135090340 270180680 540361360