Search a number
-
+
20912992 = 2517371039
BaseRepresentation
bin100111111000…
…1101101100000
31110100111020021
41033301231200
520323203432
62024123224
7342520552
oct117615540
943314207
1020912992
1110894271
127006514
134442b69
142ac54d2
151c81697
hex13f1b60

20912992 has 48 divisors (see below), whose sum is σ = 44815680. Its totient is φ = 9566208.

The previous prime is 20912989. The next prime is 20913037. The reversal of 20912992 is 29921902.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19609 + ... + 20647.

It is an arithmetic number, because the mean of its divisors is an integer number (933660).

Almost surely, 220912992 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 20912992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22407840).

20912992 is an abundant number, since it is smaller than the sum of its proper divisors (23902688).

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

20912992 is a wasteful number, since it uses less digits than its factorization.

20912992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The square root of 20912992 is about 4573.0724901318. The cubic root of 20912992 is about 275.5108608668.

It can be divided in two parts, 20912 and 992, that added together give a square (21904 = 1482).

The spelling of 20912992 in words is "twenty million, nine hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 37 68 74 136 148 272 296 544 592 629 1039 1184 1258 2078 2516 4156 5032 8312 10064 16624 17663 20128 33248 35326 38443 70652 76886 141304 153772 282608 307544 565216 615088 653531 1230176 1307062 2614124 5228248 10456496 20912992