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5930496 = 29341113
BaseRepresentation
bin10110100111111000000000
3102011022010000
4112213320000
53004233441
6331040000
7101260035
oct26477000
912138100
105930496
113390740
121ba0000
1312c8490
14b0538c
157c22b6
hex5a7e00

5930496 has 200 divisors, whose sum is σ = 20795544. Its totient is φ = 1658880.

The previous prime is 5930479. The next prime is 5930497. The reversal of 5930496 is 6940395.

5930496 = T88 + T89 + ... + T330.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5930496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5930497) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 456186 + ... + 456198.

Almost surely, 25930496 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 5930496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10397772).

5930496 is an abundant number, since it is smaller than the sum of its proper divisors (14865048).

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

5930496 is a wasteful number, since it uses less digits than its factorization.

5930496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 5930496 is about 2435.2609716414. The cubic root of 5930496 is about 181.0076815722.

The spelling of 5930496 in words is "five million, nine hundred thirty thousand, four hundred ninety-six".