Search a number
-
+
20913120 = 2533547103
BaseRepresentation
bin100111111000…
…1101111100000
31110100111102000
41033301233200
520323204440
62024124000
7342521124
oct117615740
943314360
1020913120
1110894378
127006600
134442c37
142ac5584
151c81730
hex13f1be0

20913120 has 192 divisors, whose sum is σ = 75479040. Its totient is φ = 5405184.

The previous prime is 20913083. The next prime is 20913133. The reversal of 20913120 is 2131902.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20913093 and 20913102.

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, 202989 + ... + 203091.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 220913120 is an apocalyptic number.

20913120 is a gapful number since it is divisible by the number (20) 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 20913120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37739520).

20913120 is an abundant number, since it is smaller than the sum of its proper divisors (54565920).

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

20913120 is a wasteful number, since it uses less digits than its factorization.

20913120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 20913120 is about 4573.0864850777. The cubic root of 20913120 is about 275.5114229626.

The spelling of 20913120 in words is "twenty million, nine hundred thirteen thousand, one hundred twenty".