Search a number
-
+
1140074910 = 2325131731432
BaseRepresentation
bin100001111110100…
…0010100110011110
32221110020210202200
41003331002212132
54313324344120
6305043432330
740152322362
oct10375024636
92843223680
101140074910
115355a7177
122799856a6
13152272650
14ab5b12a2
156a14ee90
hex43f4299e

1140074910 has 288 divisors, whose sum is σ = 3572045568. Its totient is φ = 249661440.

The previous prime is 1140074899. The next prime is 1140074921. The reversal of 1140074910 is 194700411.

1140074910 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1140074899) and next prime (1140074921).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26513349 + ... + 26513391.

It is an arithmetic number, because the mean of its divisors is an integer number (12402936).

Almost surely, 21140074910 is an apocalyptic number.

1140074910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140074910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786022784).

1140074910 is an abundant number, since it is smaller than the sum of its proper divisors (2431970658).

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

1140074910 is a wasteful number, since it uses less digits than its factorization.

1140074910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1140074910 is about 33764.9953354062. The cubic root of 1140074910 is about 1044.6668076886. Note that the first 3 decimals are identical.

The spelling of 1140074910 in words is "one billion, one hundred forty million, seventy-four thousand, nine hundred ten".