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546290640 = 2432571071013
BaseRepresentation
bin100000100011111…
…011101111010000
31102001221102212200
4200203323233100
52104322300030
6130112523200
716352252040
oct4043735720
91361842780
10546290640
11260404275
12132b50500
1389241ccc
14527a5720
1532e5dd60
hex208fbbd0

546290640 has 240 divisors, whose sum is σ = 2118400128. Its totient is φ = 123577344.

The previous prime is 546290623. The next prime is 546290741. The reversal of 546290640 is 46092645.

546290640 is a `hidden beast` number, since 5 + 4 + 6 + 2 + 9 + 0 + 640 = 666.

546290640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 546290595 and 546290604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 538774 + ... + 539786.

Almost surely, 2546290640 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 546290640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059200064).

546290640 is an abundant number, since it is smaller than the sum of its proper divisors (1572109488).

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

546290640 is a wasteful number, since it uses less digits than its factorization.

546290640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1137 counting only the distinct ones).

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

The square root of 546290640 is about 23372.8611855716. The cubic root of 546290640 is about 817.4752005495.

The spelling of 546290640 in words is "five hundred forty-six million, two hundred ninety thousand, six hundred forty".