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540962604 = 2233713192897
BaseRepresentation
bin100000001111100…
…110111100101100
31101200220202012000
4200033212330230
52101441300404
6125402412300
716256051310
oct4017467454
91350822160
10540962604
112583a5236
12131201090
13880c7b20
1451bb9b40
153275a339
hex203e6f2c

540962604 has 192 divisors, whose sum is σ = 1817625600. Its totient is φ = 135115776.

The previous prime is 540962581. The next prime is 540962629. The reversal of 540962604 is 406269045.

540962604 is a `hidden beast` number, since 5 + 40 + 9 + 6 + 2 + 604 = 666.

540962604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 185284 + ... + 188180.

It is an arithmetic number, because the mean of its divisors is an integer number (9466800).

Almost surely, 2540962604 is an apocalyptic number.

540962604 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540962604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908812800).

540962604 is an abundant number, since it is smaller than the sum of its proper divisors (1276662996).

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

540962604 is a wasteful number, since it uses less digits than its factorization.

540962604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 540962604 is about 23258.6027955249. The cubic root of 540962604 is about 814.8088698304.

The spelling of 540962604 in words is "five hundred forty million, nine hundred sixty-two thousand, six hundred four".