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540401460 = 223564114051
BaseRepresentation
bin100000001101011…
…101111100110100
31101122212020102220
4200031131330310
52101320321320
6125342402340
716251223314
oct4015357464
91348766386
10540401460
11258051685
12130b903b0
1387c5c5a1
1451ab1444
1532698e40
hex2035df34

540401460 has 48 divisors (see below), whose sum is σ = 1515592512. Its totient is φ = 143872000.

The previous prime is 540401447. The next prime is 540401461. The reversal of 540401460 is 64104045.

540401460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 540401460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540401461) 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, 31435 + ... + 45485.

It is an arithmetic number, because the mean of its divisors is an integer number (31574844).

Almost surely, 2540401460 is an apocalyptic number.

It is an amenable number.

540401460 is an abundant number, since it is smaller than the sum of its proper divisors (975191052).

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

540401460 is a wasteful number, since it uses less digits than its factorization.

540401460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14704 (or 14702 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 540401460 is about 23246.5365162211. The cubic root of 540401460 is about 814.5270368593.

The spelling of 540401460 in words is "five hundred forty million, four hundred one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 641 1282 1923 2564 3205 3846 6410 7692 9615 12820 14051 19230 28102 38460 42153 56204 70255 84306 140510 168612 210765 281020 421530 843060 9006691 18013382 27020073 36026764 45033455 54040146 90066910 108080292 135100365 180133820 270200730 540401460