Search a number
-
+
920284092 = 223475132
BaseRepresentation
bin110110110110100…
…110101110111100
32101010200021110000
4312312212232330
53341043042332
6231152514300
731543200000
oct6666465674
92333607400
10920284092
11432527072
1221824b990
13118879200
148a31a700
1555bd6b7c
hex36da6bbc

920284092 has 270 divisors, whose sum is σ = 3039259608. Its totient is φ = 242712288.

The previous prime is 920284087. The next prime is 920284129. The reversal of 920284092 is 290482029.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 70791078 + ... + 70791090.

Almost surely, 2920284092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920284092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519629804).

920284092 is an abundant number, since it is smaller than the sum of its proper divisors (2118975516).

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

920284092 is an equidigital number, since it uses as much as digits as its factorization.

920284092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 920284092 is about 30336.1845326666. The cubic root of 920284092 is about 972.6889263164.

The spelling of 920284092 in words is "nine hundred twenty million, two hundred eighty-four thousand, ninety-two".