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540294720 = 26357374153
BaseRepresentation
bin100000001101000…
…011111001000000
31101122122211000120
4200031003321000
52101303412340
6125340220240
716250300160
oct4015037100
91348584016
10540294720
11257a89469
12130b3a680
1387c22b24
1451a845a0
15326774d0
hex20343e40

540294720 has 448 divisors, whose sum is σ = 2101510656. Its totient is φ = 115015680.

The previous prime is 540294719. The next prime is 540294739. The reversal of 540294720 is 27492045.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10194214 + ... + 10194266.

It is an arithmetic number, because the mean of its divisors is an integer number (4690872).

Almost surely, 2540294720 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 540294720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050755328).

540294720 is an abundant number, since it is smaller than the sum of its proper divisors (1561215936).

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

540294720 is a wasteful number, since it uses less digits than its factorization.

540294720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 540294720 is about 23244.2405769687. The cubic root of 540294720 is about 814.4734049164.

The spelling of 540294720 in words is "five hundred forty million, two hundred ninety-four thousand, seven hundred twenty".