Search a number
-
+
1426401360 = 24335712131
BaseRepresentation
bin101010100000101…
…0010100001010000
310200102000200211000
41111001102201100
510410124320420
6353312422000
750230132356
oct12501224120
93612020730
101426401360
116721914aa
12339847900
13199693797
14d76257d6
158535c690
hex55052850

1426401360 has 240 divisors, whose sum is σ = 5021375040. Its totient is φ = 372153600.

The previous prime is 1426401329. The next prime is 1426401367. The reversal of 1426401360 is 631046241.

1426401360 is a `hidden beast` number, since 1 + 4 + 2 + 640 + 13 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1426401367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10888495 + ... + 10888625.

It is an arithmetic number, because the mean of its divisors is an integer number (20922396).

Almost surely, 21426401360 is an apocalyptic number.

1426401360 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 1426401360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510687520).

1426401360 is an abundant number, since it is smaller than the sum of its proper divisors (3594973680).

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

1426401360 is a wasteful number, since it uses less digits than its factorization.

1426401360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1426401360 is about 37767.7290818498. The cubic root of 1426401360 is about 1125.6773165779.

The spelling of 1426401360 in words is "one billion, four hundred twenty-six million, four hundred one thousand, three hundred sixty".