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21235720 = 23511172167
BaseRepresentation
bin101000100000…
…0100000001000
31110221212221011
41101000200020
520414020340
62035053304
7345333502
oct121004010
943855834
1021235720
1110a94790
127141234
134526a1c
142b6ad72
151ce70ea
hex1440808

21235720 has 96 divisors (see below), whose sum is σ = 55702080. Its totient is φ = 7224320.

The previous prime is 21235657. The next prime is 21235723. The reversal of 21235720 is 2753212.

21235720 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 21235691 and 21235700.

It is not an unprimeable number, because it can be changed into a prime (21235723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127077 + ... + 127243.

It is an arithmetic number, because the mean of its divisors is an integer number (580230).

Almost surely, 221235720 is an apocalyptic number.

21235720 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 21235720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27851040).

21235720 is an abundant number, since it is smaller than the sum of its proper divisors (34466360).

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

21235720 is a wasteful number, since it uses less digits than its factorization.

21235720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 21235720 is about 4608.2230848777. The cubic root of 21235720 is about 276.9208547622.

Adding to 21235720 its reverse (2753212), we get a palindrome (23988932).

The spelling of 21235720 in words is "twenty-one million, two hundred thirty-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 167 170 187 220 289 334 340 374 440 578 668 680 748 835 935 1156 1336 1445 1496 1670 1837 1870 2312 2839 2890 3179 3340 3674 3740 5678 5780 6358 6680 7348 7480 9185 11356 11560 12716 14195 14696 15895 18370 22712 25432 28390 31229 31790 36740 48263 56780 62458 63580 73480 96526 113560 124916 127160 156145 193052 241315 249832 312290 386104 482630 530893 624580 965260 1061786 1249160 1930520 2123572 2654465 4247144 5308930 10617860 21235720