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21288690 = 2335372131
BaseRepresentation
bin101000100110…
…1011011110010
31111001120121000
41101031123302
520422214230
62040142430
7345644103
oct121153362
944046530
1021288690
1111020565
127167a16
134544b77
142b823aa
151d07b60
hex144d6f2

21288690 has 64 divisors (see below), whose sum is σ = 58331520. Its totient is φ = 5520960.

The previous prime is 21288671. The next prime is 21288691. The reversal of 21288690 is 9688212.

It is a super-2 number, since 2×212886902 = 906416643832200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21288691) 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 31 ways as a sum of consecutive naturals, for example, 8925 + ... + 11055.

It is an arithmetic number, because the mean of its divisors is an integer number (911430).

Almost surely, 221288690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21288690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29165760).

21288690 is an abundant number, since it is smaller than the sum of its proper divisors (37042830).

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

21288690 is a wasteful number, since it uses less digits than its factorization.

21288690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 21288690 is about 4613.9668399329. The cubic root of 21288690 is about 277.1509123926.

The spelling of 21288690 in words is "twenty-one million, two hundred eighty-eight thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 185 222 270 333 370 555 666 999 1110 1665 1998 2131 3330 4262 4995 6393 9990 10655 12786 19179 21310 31965 38358 57537 63930 78847 95895 115074 157694 191790 236541 287685 394235 473082 575370 709623 788470 1182705 1419246 2128869 2365410 3548115 4257738 7096230 10644345 21288690