Search a number
-
+
1114248960 = 2834511977
BaseRepresentation
bin100001001101010…
…0001011100000000
32212122122201020000
41002122201130000
54240221431320
6302322120000
736416650146
oct10232413400
92778581200
101114248960
11521a67810
122711b0000
13149acc516
14a7dab596
1567c4cc90
hex426a1700

1114248960 has 360 divisors, whose sum is σ = 4353891696. Its totient is φ = 269844480.

The previous prime is 1114248931. The next prime is 1114248973. The reversal of 1114248960 is 698424111.

1114248960 is a `hidden beast` number, since 1 + 114 + 2 + 489 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×11142489602 = 2483101489722163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1139992 + ... + 1140968.

Almost surely, 21114248960 is an apocalyptic number.

1114248960 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 1114248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176945848).

1114248960 is an abundant number, since it is smaller than the sum of its proper divisors (3239642736).

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

1114248960 is an equidigital number, since it uses as much as digits as its factorization.

1114248960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1114248960 is about 33380.3678829338. The cubic root of 1114248960 is about 1036.7182548720.

The spelling of 1114248960 in words is "one billion, one hundred fourteen million, two hundred forty-eight thousand, nine hundred sixty".