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1427874240 = 2635133677
BaseRepresentation
bin101010100011011…
…1010000111000000
310200111210112020010
41111012322013000
510411013433430
6353404144520
750245505442
oct12506720700
93614715203
101427874240
11672aa8061
1233a238140
13199a8b000
14d78ca492
158554dcb0
hex551ba1c0

1427874240 has 224 divisors, whose sum is σ = 4918374720. Its totient is φ = 350957568.

The previous prime is 1427874209. The next prime is 1427874299. The reversal of 1427874240 is 424787241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 2108782 + ... + 2109458.

It is an arithmetic number, because the mean of its divisors is an integer number (21957030).

Almost surely, 21427874240 is an apocalyptic number.

1427874240 is a gapful number since it is divisible by the number (10) 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 1427874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459187360).

1427874240 is an abundant number, since it is smaller than the sum of its proper divisors (3490500480).

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

1427874240 is an equidigital number, since it uses as much as digits as its factorization.

1427874240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 39.

The square root of 1427874240 is about 37787.2232374913. The cubic root of 1427874240 is about 1126.0646356287.

The spelling of 1427874240 in words is "one billion, four hundred twenty-seven million, eight hundred seventy-four thousand, two hundred forty".