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270422460 = 22325711109179
BaseRepresentation
bin10000000111100…
…101000110111100
3200211211212212200
4100013211012330
51023212004320
642500031500
76462360450
oct2007450674
9624755780
10270422460
11129712440
1276692590
13440431b9
1427cb4660
1518b1a290
hex101e51bc

270422460 has 288 divisors, whose sum is σ = 1037836800. Its totient is φ = 55365120.

The previous prime is 270422437. The next prime is 270422473. The reversal of 270422460 is 64224072.

It is a happy number.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1510651 + ... + 1510829.

It is an arithmetic number, because the mean of its divisors is an integer number (3603600).

Almost surely, 2270422460 is an apocalyptic number.

270422460 is a gapful number since it is divisible by the number (20) 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 270422460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518918400).

270422460 is an abundant number, since it is smaller than the sum of its proper divisors (767414340).

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

270422460 is a wasteful number, since it uses less digits than its factorization.

270422460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 270422460 is about 16444.5267490433. The cubic root of 270422460 is about 646.6673285618.

The spelling of 270422460 in words is "two hundred seventy million, four hundred twenty-two thousand, four hundred sixty".