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1426455720 = 2332517613821
BaseRepresentation
bin101010100000101…
…1111110010101000
310200102010110101100
41111001133302220
510410133040340
6353313521400
750230450014
oct12501376250
93612113340
101426455720
11672219328
12339873260
131996b2451
14d763b544
158536d830
hex5505fca8

1426455720 has 192 divisors, whose sum is σ = 4990461840. Its totient is φ = 352051200.

The previous prime is 1426455707. The next prime is 1426455721. The reversal of 1426455720 is 275546241.

It is a happy number.

1426455720 is a `hidden beast` number, since 1 + 4 + 2 + 645 + 5 + 7 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 720278244 + 706177476 = 26838^2 + 26574^2 .

It is a super-2 number, since 2×14264557202 = 4069551842241436800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1426455721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 371410 + ... + 375230.

Almost surely, 21426455720 is an apocalyptic number.

1426455720 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 1426455720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495230920).

1426455720 is an abundant number, since it is smaller than the sum of its proper divisors (3564006120).

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

1426455720 is a wasteful number, since it uses less digits than its factorization.

1426455720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3916 (or 3909 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 1426455720 is about 37768.4487370080. The cubic root of 1426455720 is about 1125.6916162095.

The spelling of 1426455720 in words is "one billion, four hundred twenty-six million, four hundred fifty-five thousand, seven hundred twenty".