Search a number
-
+
1426091940 = 2233571329021
BaseRepresentation
bin101010100000000…
…0110111110100100
310200101102222101000
41111000012332210
510410034420230
6353302033300
750224403310
oct12500067644
93611388330
101426091940
11671a9aa89
12339718830
131995b59b0
14d7584b40
15852eab60
hex55006fa4

1426091940 has 192 divisors, whose sum is σ = 5460779520. Its totient is φ = 300879360.

The previous prime is 1426091929. The next prime is 1426091951. The reversal of 1426091940 is 491906241.

It is a happy number.

1426091940 is a `hidden beast` number, since 1 + 4 + 2 + 609 + 1 + 9 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1426091929) and next prime (1426091951).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1426091895 and 1426091904.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 34630 + ... + 63650.

It is an arithmetic number, because the mean of its divisors is an integer number (28441560).

Almost surely, 21426091940 is an apocalyptic number.

1426091940 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 1426091940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730389760).

1426091940 is an abundant number, since it is smaller than the sum of its proper divisors (4034687580).

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

1426091940 is a wasteful number, since it uses less digits than its factorization.

1426091940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29059 (or 29051 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1426091940 is about 37763.6325053616. The cubic root of 1426091940 is about 1125.5959153975.

The spelling of 1426091940 in words is "one billion, four hundred twenty-six million, ninety-one thousand, nine hundred forty".