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1426232640 = 26357373569
BaseRepresentation
bin101010100000010…
…1001010101000000
310200101201010101010
41111000221111000
510410103421030
6353305040520
750225530440
oct12500512500
93611633333
101426232640
11672086768
12339786140
13199634a51
14d75c0120
15853276b0
hex55029540

1426232640 has 224 divisors, whose sum is σ = 5198181120. Its totient is φ = 324550656.

The previous prime is 1426232623. The next prime is 1426232659. The reversal of 1426232640 is 462326241.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×14262326403 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 1426232598 and 1426232607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2506276 + ... + 2506844.

Almost surely, 21426232640 is an apocalyptic number.

1426232640 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 1426232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599090560).

1426232640 is an abundant number, since it is smaller than the sum of its proper divisors (3771948480).

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

1426232640 is a wasteful number, since it uses less digits than its factorization.

1426232640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 1426232640 is about 37765.4953628309. The cubic root of 1426232640 is about 1125.6329317433.

Adding to 1426232640 its reverse (462326241), we get a palindrome (1888558881).

The spelling of 1426232640 in words is "one billion, four hundred twenty-six million, two hundred thirty-two thousand, six hundred forty".