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1402132480 = 2115731631
BaseRepresentation
bin101001110010010…
…1101100000000000
310121201100201011121
41103210231200000
510332421214410
6351044322024
746513633540
oct12344554000
93551321147
101402132480
1165a515981
123316a3314
131946472b8
14d4309320
15831669da
hex5392d800

1402132480 has 192 divisors, whose sum is σ = 3975229440. Its totient is φ = 464486400.

The previous prime is 1402132469. The next prime is 1402132481. The reversal of 1402132480 is 842312041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1402132481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2221765 + ... + 2222395.

It is an arithmetic number, because the mean of its divisors is an integer number (20704320).

Almost surely, 21402132480 is an apocalyptic number.

1402132480 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 1402132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987614720).

1402132480 is an abundant number, since it is smaller than the sum of its proper divisors (2573096960).

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

1402132480 is an equidigital number, since it uses as much as digits as its factorization.

1402132480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 1402132480 is about 37445.0594872007. The cubic root of 1402132480 is about 1119.2566496004.

The spelling of 1402132480 in words is "one billion, four hundred two million, one hundred thirty-two thousand, four hundred eighty".