Search a number
-
+
1117798920 = 233357199743
BaseRepresentation
bin100001010100000…
…0100001000001000
32212220100001212000
41002220010020020
54242124031140
6302530151000
736462063660
oct10250041010
92786301760
101117798920
11523a71967
12272422460
1314a7732a4
14a86531a0
15681eea30
hex42a04208

1117798920 has 256 divisors, whose sum is σ = 4285440000. Its totient is φ = 253870848.

The previous prime is 1117798907. The next prime is 1117798967. The reversal of 1117798920 is 298977111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1504069 + ... + 1504811.

It is an arithmetic number, because the mean of its divisors is an integer number (16740000).

Almost surely, 21117798920 is an apocalyptic number.

1117798920 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 1117798920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142720000).

1117798920 is an abundant number, since it is smaller than the sum of its proper divisors (3167641080).

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

1117798920 is a wasteful number, since it uses less digits than its factorization.

1117798920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 45.

The square root of 1117798920 is about 33433.4999663511. The cubic root of 1117798920 is about 1037.8180709588.

The spelling of 1117798920 in words is "one billion, one hundred seventeen million, seven hundred ninety-eight thousand, nine hundred twenty".