Search a number
-
+
1140023808 = 2935721117
BaseRepresentation
bin100001111110011…
…0110001000000000
32221110011012200000
41003330312020000
54313321230213
6305042400000
740152020400
oct10374661000
92843135600
101140023808
11535571840
12279960000
13152255301
14ab59a800
156a13ec73
hex43f36200

1140023808 has 720 divisors, whose sum is σ = 4584644064. Its totient is φ = 278691840.

The previous prime is 1140023779. The next prime is 1140023839. The reversal of 1140023808 is 8083200411.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67060216 + ... + 67060232.

Almost surely, 21140023808 is an apocalyptic number.

1140023808 is a gapful number since it is divisible by the number (18) 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 1140023808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292322032).

1140023808 is an abundant number, since it is smaller than the sum of its proper divisors (3444620256).

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

1140023808 is an equidigital number, since it uses as much as digits as its factorization.

1140023808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1140023808 is about 33764.2385964796. The cubic root of 1140023808 is about 1044.6511989596.

The spelling of 1140023808 in words is "one billion, one hundred forty million, twenty-three thousand, eight hundred eight".