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21020120 = 23511243101
BaseRepresentation
bin101000000101…
…1110111011000
31110112221011222
41100023313120
520340120440
62030311212
7343445102
oct120136730
943487158
1021020120
1110957800
127058508
13447c854
142b12572
151ca32b5
hex140bdd8

21020120 has 96 divisors (see below), whose sum is σ = 53721360. Its totient is φ = 7392000.

The previous prime is 21020119. The next prime is 21020159. The reversal of 21020120 is 2102012.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 21020098 and 21020107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208070 + ... + 208170.

Almost surely, 221020120 is an apocalyptic number.

21020120 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 21020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26860680).

21020120 is an abundant number, since it is smaller than the sum of its proper divisors (32701240).

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

21020120 is a wasteful number, since it uses less digits than its factorization.

21020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 21020120 is about 4584.7704413634. The cubic root of 21020120 is about 275.9804999175.

Adding to 21020120 its reverse (2102012), we get a palindrome (23122132).

The spelling of 21020120 in words is "twenty-one million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 101 110 121 172 202 215 220 242 344 404 430 440 473 484 505 605 808 860 946 968 1010 1111 1210 1720 1892 2020 2222 2365 2420 3784 4040 4343 4444 4730 4840 5203 5555 8686 8888 9460 10406 11110 12221 17372 18920 20812 21715 22220 24442 26015 34744 41624 43430 44440 47773 48884 52030 61105 86860 95546 97768 104060 122210 173720 191092 208120 238865 244420 382184 477730 488840 525503 955460 1051006 1910920 2102012 2627515 4204024 5255030 10510060 21020120