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20911122 = 235172531
BaseRepresentation
bin100111111000…
…1010000010010
31110100101200000
41033301100102
520323123442
62024110430
7342512241
oct117612022
943311600
1020911122
1110892921
127005416
13444205b
142ac4958
151c80d4c
hex13f1412

20911122 has 48 divisors (see below), whose sum is σ = 49768992. Its totient is φ = 6557760.

The previous prime is 20911087. The next prime is 20911123. The reversal of 20911122 is 22111902.

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 = 20911095 and 20911104.

It is not an unprimeable number, because it can be changed into a prime (20911123) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6997 + ... + 9527.

It is an arithmetic number, because the mean of its divisors is an integer number (1036854).

Almost surely, 220911122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20911122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24884496).

20911122 is an abundant number, since it is smaller than the sum of its proper divisors (28857870).

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

20911122 is a wasteful number, since it uses less digits than its factorization.

20911122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 20911122 is about 4572.8680278355. The cubic root of 20911122 is about 275.5026487361.

The spelling of 20911122 in words is "twenty million, nine hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 918 1377 2531 2754 4131 5062 7593 8262 15186 22779 43027 45558 68337 86054 129081 136674 205011 258162 387243 410022 615033 774486 1161729 1230066 2323458 3485187 6970374 10455561 20911122