Search a number
-
+
1115199360 = 27335115867
BaseRepresentation
bin100001001111000…
…1001011110000000
32212201102222221000
41002132021132000
54240442334420
6302354332000
736431016042
oct10236113600
92781388830
101115199360
11522556870
1227158a000
1314a072ca2
14a8177a92
1567d89690
hex42789780

1115199360 has 256 divisors, whose sum is σ = 4309459200. Its totient is φ = 270305280.

The previous prime is 1115199331. The next prime is 1115199391. The reversal of 1115199360 is 639915111.

It is a happy number.

It is a super-2 number, since 2×11151993602 = 2487339225088819200, 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 31 ways as a sum of consecutive naturals, for example, 187147 + ... + 193013.

It is an arithmetic number, because the mean of its divisors is an integer number (16833825).

Almost surely, 21115199360 is an apocalyptic number.

1115199360 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 1115199360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154729600).

1115199360 is an abundant number, since it is smaller than the sum of its proper divisors (3194259840).

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

1115199360 is a wasteful number, since it uses less digits than its factorization.

1115199360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5906 (or 5888 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 36.

The square root of 1115199360 is about 33394.6007612009. The cubic root of 1115199360 is about 1037.0129278043.

The spelling of 1115199360 in words is "one billion, one hundred fifteen million, one hundred ninety-nine thousand, three hundred sixty".