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1362426240 = 27357176789
BaseRepresentation
bin101000100110100…
…1111100110000000
310111221122102110010
41101031033212000
510242240114430
6343105304520
745522301110
oct12115174600
93457572403
101362426240
1163a065aaa
12320335140
13189354396
14ccd31040
157e921cb0
hex5134f980

1362426240 has 512 divisors, whose sum is σ = 5393433600. Its totient is φ = 285474816.

The previous prime is 1362426239. The next prime is 1362426253. The reversal of 1362426240 is 426242631.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1362426198 and 1362426207.

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 63 ways as a sum of consecutive naturals, for example, 15308116 + ... + 15308204.

It is an arithmetic number, because the mean of its divisors is an integer number (10534050).

Almost surely, 21362426240 is an apocalyptic number.

1362426240 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 1362426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696716800).

1362426240 is an abundant number, since it is smaller than the sum of its proper divisors (4031007360).

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

1362426240 is a wasteful number, since it uses less digits than its factorization.

1362426240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 1362426240 is about 36911.0585055482. The cubic root of 1362426240 is about 1108.5901099646.

Adding to 1362426240 its reverse (426242631), we get a palindrome (1788668871).

The spelling of 1362426240 in words is "one billion, three hundred sixty-two million, four hundred twenty-six thousand, two hundred forty".