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1421282880 = 263251932557
BaseRepresentation
bin101010010110111…
…0000111001000000
310200001101122120200
41110231300321000
510402322023010
6353011005200
750135463603
oct12455607100
93601348520
101421282880
1166a305956
12337b99800
131985c0ab4
14d6a9233a
1584b9acc0
hex54b70e40

1421282880 has 168 divisors, whose sum is σ = 4915872312. Its totient is φ = 376897536.

The previous prime is 1421282869. The next prime is 1421282881. The reversal of 1421282880 is 882821241.

It can be written as a sum of positive squares in 4 ways, for example, as 32080896 + 1389201984 = 5664^2 + 37272^2 .

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 (1421282881) 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 23 ways as a sum of consecutive naturals, for example, 554562 + ... + 557118.

Almost surely, 21421282880 is an apocalyptic number.

1421282880 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 1421282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457936156).

1421282880 is an abundant number, since it is smaller than the sum of its proper divisors (3494589432).

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

1421282880 is a wasteful number, since it uses less digits than its factorization.

1421282880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 1421282880 is about 37699.9055701735. The cubic root of 1421282880 is about 1124.3292475679.

The spelling of 1421282880 in words is "one billion, four hundred twenty-one million, two hundred eighty-two thousand, eight hundred eighty".