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405076140 = 22310573
BaseRepresentation
bin11000001001001…
…111100010101100
31001020020000000000
4120021033202230
51312144414030
6104110104300
713016043000
oct3011174254
91036200000
10405076140
11198722777
12b37ab090
1365bcac31
143bb26700
1525867860
hex1824f8ac

405076140 has 264 divisors, whose sum is σ = 1488026400. Its totient is φ = 92588832.

The previous prime is 405076121. The next prime is 405076151. The reversal of 405076140 is 41670504.

405076140 is a `hidden beast` number, since 40 + 5 + 0 + 7 + 614 + 0 = 666.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 945 × 567 × 756.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 57868017 + ... + 57868023.

Almost surely, 2405076140 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 405076140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744013200).

405076140 is an abundant number, since it is smaller than the sum of its proper divisors (1082950260).

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

405076140 is an frugal number, since it uses more digits than its factorization.

405076140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 405076140 is about 20126.5034221049. The cubic root of 405076140 is about 739.9099841809.

The spelling of 405076140 in words is "four hundred five million, seventy-six thousand, one hundred forty".