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5406212160 = 263451712269
BaseRepresentation
bin1010000100011110…
…00100000001000000
3111221202202000220000
411002033010001000
542032442242120
62252241520000
7250654021326
oct50217040100
914852660800
105406212160
112324736238
12106a643000
1368206690b
14394001d16
15219945990
hex1423c4040

5406212160 has 280 divisors, whose sum is σ = 20363733720. Its totient is φ = 1356742656.

The previous prime is 5406212099. The next prime is 5406212239. The reversal of 5406212160 is 612126045.

5406212160 is a `hidden beast` number, since 540 + 62 + 1 + 2 + 1 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2482430976 + 2923781184 = 49824^2 + 54072^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 434506 + ... + 446774.

Almost surely, 25406212160 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 5406212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10181866860).

5406212160 is an abundant number, since it is smaller than the sum of its proper divisors (14957521560).

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

5406212160 is a wasteful number, since it uses less digits than its factorization.

5406212160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12315 (or 12296 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5406212160 is about 73526.9485290937. The cubic root of 5406212160 is about 1755.0831431134.

The spelling of 5406212160 in words is "five billion, four hundred six million, two hundred twelve thousand, one hundred sixty".