Search a number
-
+
1426098960 = 24385111319
BaseRepresentation
bin101010100000000…
…1000101100010000
310200101110100000000
41111000020230100
510410040131320
6353302130000
750224432626
oct12500105420
93611410000
101426098960
11671aa5290
12339720900
131995b8c50
14d7587516
15852ecc90
hex55008b10

1426098960 has 720 divisors, whose sum is σ = 6150231360. Its totient is φ = 302330880.

The previous prime is 1426098937. The next prime is 1426098967. The reversal of 1426098960 is 698906241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1426098967) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75057831 + ... + 75057849.

It is an arithmetic number, because the mean of its divisors is an integer number (8541988).

It is a vampire number, since it can be written as 2916048906 (with its own digits).

Almost surely, 21426098960 is an apocalyptic number.

1426098960 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 1426098960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3075115680).

1426098960 is an abundant number, since it is smaller than the sum of its proper divisors (4724132400).

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

1426098960 is a wasteful number, since it uses less digits than its factorization.

1426098960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1426098960 is about 37763.7254518142. The cubic root of 1426098960 is about 1125.5977623261.

The spelling of 1426098960 in words is "one billion, four hundred twenty-six million, ninety-eight thousand, nine hundred sixty".