Search a number
-
+
11020922640 = 24335713219227
BaseRepresentation
bin10100100001110010…
…11110111100010000
31001110001210212201000
422100321132330100
5140032324011030
65021332342000
7540052203540
oct122071367420
931401725630
1011020922640
114746029332
122176a74900
131068371a00
14767999320
15447823860
hex290e5ef10

11020922640 has 960 divisors, whose sum is σ = 49668249600. Its totient is φ = 2193205248.

The previous prime is 11020922617. The next prime is 11020922669. The reversal of 11020922640 is 4622902011.

11020922640 is a `hidden beast` number, since 1 + 10 + 2 + 0 + 9 + 2 + 2 + 640 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48550207 + ... + 48550433.

It is an arithmetic number, because the mean of its divisors is an integer number (51737760).

Almost surely, 211020922640 is an apocalyptic number.

11020922640 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 11020922640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24834124800).

11020922640 is an abundant number, since it is smaller than the sum of its proper divisors (38647326960).

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

11020922640 is a wasteful number, since it uses less digits than its factorization.

11020922640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 11020922640 in words is "eleven billion, twenty million, nine hundred twenty-two thousand, six hundred forty".