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1426451040 = 253357431097
BaseRepresentation
bin101010100000101…
…1110101001100000
310200102010012222000
41111001132221200
510410132413130
6353313444000
750230430250
oct12501365140
93612105860
101426451040
11672215863
12339870600
131996b0291
14d7639960
158536c260
hex5505ea60

1426451040 has 384 divisors, whose sum is σ = 5843819520. Its totient is φ = 318173184.

The previous prime is 1426451027. The next prime is 1426451051. The reversal of 1426451040 is 401546241.

1426451040 is a `hidden beast` number, since 1 + 4 + 2 + 645 + 10 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1426450995 and 1426451013.

It is a congruent number.

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, 1299772 + ... + 1300868.

It is an arithmetic number, because the mean of its divisors is an integer number (15218280).

Almost surely, 21426451040 is an apocalyptic number.

1426451040 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 1426451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921909760).

1426451040 is an abundant number, since it is smaller than the sum of its proper divisors (4417368480).

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

1426451040 is a wasteful number, since it uses less digits than its factorization.

1426451040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1426451040 is about 37768.3867804808. The cubic root of 1426451040 is about 1125.6903851297.

Adding to 1426451040 its reverse (401546241), we get a palindrome (1827997281).

The spelling of 1426451040 in words is "one billion, four hundred twenty-six million, four hundred fifty-one thousand, forty".