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1427442240 = 26357375741
BaseRepresentation
bin101010100010101…
…0000101001000000
310200110222120122010
41111011100221000
510410411122430
6353351012520
750242026120
oct12505205100
93613876563
101427442240
11672832534
1233a06a140
131999694a3
14d7816c80
15854b5cb0
hex55150a40

1427442240 has 224 divisors, whose sum is σ = 5320491264. Its totient is φ = 317399040.

The previous prime is 1427442229. The next prime is 1427442251. The reversal of 1427442240 is 422447241.

It is an interprime number because it is at equal distance from previous prime (1427442229) and next prime (1427442251).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 1427442198 and 1427442207.

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, 245770 + ... + 251510.

Almost surely, 21427442240 is an apocalyptic number.

1427442240 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 1427442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660245632).

1427442240 is an abundant number, since it is smaller than the sum of its proper divisors (3893049024).

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

1427442240 is a wasteful number, since it uses less digits than its factorization.

1427442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5805 (or 5795 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 30.

The square root of 1427442240 is about 37781.5065872180. The cubic root of 1427442240 is about 1125.9510614366.

Adding to 1427442240 its reverse (422447241), we get a palindrome (1849889481).

The spelling of 1427442240 in words is "one billion, four hundred twenty-seven million, four hundred forty-two thousand, two hundred forty".