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21920052 = 22372113389
BaseRepresentation
bin101001110011…
…1100100110100
31112020122122210
41103213210310
521102420202
62101453420
7354213600
oct123474464
945218583
1021920052
1111411950
127411270
13470635b
142ca8500
151dcec6c
hex14e7934

21920052 has 72 divisors (see below), whose sum is σ = 64925280. Its totient is φ = 5691840.

The previous prime is 21920047. The next prime is 21920057. The reversal of 21920052 is 25002912.

It is an interprime number because it is at equal distance from previous prime (21920047) and next prime (21920057).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21920057) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4774 + ... + 8162.

It is an arithmetic number, because the mean of its divisors is an integer number (901740).

Almost surely, 221920052 is an apocalyptic number.

21920052 is a gapful number since it is divisible by the number (22) 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 21920052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32462640).

21920052 is an abundant number, since it is smaller than the sum of its proper divisors (43005228).

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

21920052 is a wasteful number, since it uses less digits than its factorization.

21920052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3421 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 21920052 is about 4681.8855176093. The cubic root of 21920052 is about 279.8641007180.

Adding to 21920052 its reverse (25002912), we get a palindrome (46922964).

The spelling of 21920052 in words is "twenty-one million, nine hundred twenty thousand, fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 1078 1617 2156 3234 3389 6468 6778 10167 13556 20334 23723 37279 40668 47446 71169 74558 94892 111837 142338 149116 166061 223674 260953 284676 332122 447348 498183 521906 664244 782859 996366 1043812 1565718 1826671 1992732 3131436 3653342 5480013 7306684 10960026 21920052