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21089460 = 22357149337
BaseRepresentation
bin101000001110…
…0110010110100
31110200110022010
41100130302310
520344330320
62032004220
7344154210
oct120346264
943613263
1021089460
11109a4907
127090670
1344a5292
142b2d940
151cb8ae0
hex141ccb4

21089460 has 96 divisors (see below), whose sum is σ = 68140800. Its totient is φ = 4773888.

The previous prime is 21089437. The next prime is 21089473. The reversal of 21089460 is 6498012.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 62412 + ... + 62748.

It is an arithmetic number, because the mean of its divisors is an integer number (709800).

Almost surely, 221089460 is an apocalyptic number.

21089460 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 21089460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34070400).

21089460 is an abundant number, since it is smaller than the sum of its proper divisors (47051340).

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

21089460 is a wasteful number, since it uses less digits than its factorization.

21089460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 21089460 is about 4592.3262079256. The cubic root of 21089460 is about 276.2836298746.

The spelling of 21089460 in words is "twenty-one million, eighty-nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 149 210 298 337 420 447 596 674 745 894 1011 1043 1348 1490 1685 1788 2022 2086 2235 2359 2980 3129 3370 4044 4172 4470 4718 5055 5215 6258 6740 7077 8940 9436 10110 10430 11795 12516 14154 15645 20220 20860 23590 28308 31290 35385 47180 50213 62580 70770 100426 141540 150639 200852 251065 301278 351491 502130 602556 702982 753195 1004260 1054473 1405964 1506390 1757455 2108946 3012780 3514910 4217892 5272365 7029820 10544730 21089460