Search a number
-
+
1118311920 = 243451129541
BaseRepresentation
bin100001010101000…
…0001010111110000
32212221022010120000
41002222001113300
54242241440140
6302545150000
736466331415
oct10252012760
92787263500
101118311920
11524292330
1227262b300
1314a8c293b
14a874810c
15682a1a30
hex42a815f0

1118311920 has 400 divisors, whose sum is σ = 4391370720. Its totient is φ = 261273600.

The previous prime is 1118311907. The next prime is 1118311927. The reversal of 1118311920 is 291138111.

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 (1118311927) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2066850 + ... + 2067390.

Almost surely, 21118311920 is an apocalyptic number.

1118311920 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 1118311920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195685360).

1118311920 is an abundant number, since it is smaller than the sum of its proper divisors (3273058800).

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

1118311920 is a wasteful number, since it uses less digits than its factorization.

1118311920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The square root of 1118311920 is about 33441.1710321274. The cubic root of 1118311920 is about 1037.9768112699.

The spelling of 1118311920 in words is "one billion, one hundred eighteen million, three hundred eleven thousand, nine hundred twenty".