Search a number
-
+
1117888992 = 253311217237
BaseRepresentation
bin100001010100001…
…1010000111100000
32212220111122102000
41002220122013200
54242134421432
6302532124000
736462620403
oct10250320740
92786448360
101117888992
11524023600
12272466600
1314a7a529c
14a8677d3a
156821b57c
hex42a1a1e0

1117888992 has 432 divisors, whose sum is σ = 3909976560. Its totient is φ = 310210560.

The previous prime is 1117888969. The next prime is 1117889021. The reversal of 1117888992 is 2998887111.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (580608) is a multiple of the sum of its prime factors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30213198 + ... + 30213234.

Almost surely, 21117888992 is an apocalyptic number.

1117888992 is a gapful number since it is divisible by the number (12) 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 1117888992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954988280).

1117888992 is an abundant number, since it is smaller than the sum of its proper divisors (2792087568).

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

1117888992 is a wasteful number, since it uses less digits than its factorization.

1117888992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 70 counting only the distinct ones).

The product of its digits is 580608, while the sum is 54.

The square root of 1117888992 is about 33434.8469713860. The cubic root of 1117888992 is about 1037.8459459301.

The spelling of 1117888992 in words is "one billion, one hundred seventeen million, eight hundred eighty-eight thousand, nine hundred ninety-two".