Search a number
-
+
818997120 = 27325294903
BaseRepresentation
bin110000110100001…
…110011110000000
32010002002100211200
4300310032132000
53134130401440
6213133541200
726203234464
oct6064163600
92102070750
10818997120
11390336727
121aa344800
131008a49a6
147aab24a4
154bd7ac30
hex30d0e780

818997120 has 192 divisors, whose sum is σ = 2926216800. Its totient is φ = 210825216.

The previous prime is 818997119. The next prime is 818997139. The reversal of 818997120 is 21799818.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164589 + ... + 169491.

Almost surely, 2818997120 is an apocalyptic number.

818997120 is a gapful number since it is divisible by the number (80) 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 818997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463108400).

818997120 is an abundant number, since it is smaller than the sum of its proper divisors (2107219680).

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

818997120 is a wasteful number, since it uses less digits than its factorization.

818997120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4957 (or 4942 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 818997120 is about 28618.1257247920. The cubic root of 818997120 is about 935.6084270488.

The spelling of 818997120 in words is "eight hundred eighteen million, nine hundred ninety-seven thousand, one hundred twenty".