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1402427520 = 27345132081
BaseRepresentation
bin101001110010111…
…0101100010000000
310121201220200220000
41103211311202000
510333010140040
6351054520000
746516302654
oct12345654200
93551820800
101402427520
1165a6a760a
12331806000
1319471b690
14d4384a64
15831c4130
hex53975880

1402427520 has 320 divisors, whose sum is σ = 5396169240. Its totient is φ = 345047040.

The previous prime is 1402427497. The next prime is 1402427527. The reversal of 1402427520 is 257242041.

It can be written as a sum of positive squares in 4 ways, for example, as 792535104 + 609892416 = 28152^2 + 24696^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (1402427527) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 672880 + ... + 674960.

Almost surely, 21402427520 is an apocalyptic number.

1402427520 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 1402427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698084620).

1402427520 is an abundant number, since it is smaller than the sum of its proper divisors (3993741720).

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

1402427520 is a wasteful number, since it uses less digits than its factorization.

1402427520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 1402427520 is about 37448.9989185292. The cubic root of 1402427520 is about 1119.3351496297.

Adding to 1402427520 its reverse (257242041), we get a palindrome (1659669561).

The spelling of 1402427520 in words is "one billion, four hundred two million, four hundred twenty-seven thousand, five hundred twenty".