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1420992576 = 26322997877
BaseRepresentation
bin101010010110010…
…1010000001000000
310200000211220100200
41110230222001000
510402233230301
6353000445200
750133144333
oct12454520100
93600756320
101420992576
1166a127833
12337a79800
1319851b913
14d6a1861a
1584b3ec86
hex54b2a040

1420992576 has 168 divisors, whose sum is σ = 4261759320. Its totient is φ = 452100096.

The previous prime is 1420992571. The next prime is 1420992589. The reversal of 1420992576 is 6752990241.

It can be written as a sum of positive squares in 4 ways, for example, as 411278400 + 1009714176 = 20280^2 + 31776^2 .

It is not an unprimeable number, because it can be changed into a prime (1420992571) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1619850 + ... + 1620726.

It is an arithmetic number, because the mean of its divisors is an integer number (25367615).

Almost surely, 21420992576 is an apocalyptic number.

1420992576 is a gapful number since it is divisible by the number (16) 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 1420992576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130879660).

1420992576 is an abundant number, since it is smaller than the sum of its proper divisors (2840766744).

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

1420992576 is a wasteful number, since it uses less digits than its factorization.

1420992576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1420992576 is about 37696.0551782279. The cubic root of 1420992576 is about 1124.2526924341.

The spelling of 1420992576 in words is "one billion, four hundred twenty million, nine hundred ninety-two thousand, five hundred seventy-six".