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21355290 = 23251123753
BaseRepresentation
bin101000101110…
…1101100011010
31111011221221200
41101131230122
520431332130
62041415030
7346342215
oct121355432
944157850
1021355290
1111066600
12719a476
134569288
142b9c77c
151d1c760
hex145db1a

21355290 has 144 divisors (see below), whose sum is σ = 63862344. Its totient is φ = 4942080.

The previous prime is 21355289. The next prime is 21355291. The reversal of 21355290 is 9255312.

21355290 is a `hidden beast` number, since 2 + 135 + 529 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21355289) and next prime (21355291).

It can be written as a sum of positive squares in 4 ways, for example, as 21040569 + 314721 = 4587^2 + 561^2 .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21355291) 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 71 ways as a sum of consecutive naturals, for example, 402904 + ... + 402956.

Almost surely, 221355290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21355290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31931172).

21355290 is an abundant number, since it is smaller than the sum of its proper divisors (42507054).

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

21355290 is a wasteful number, since it uses less digits than its factorization.

21355290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 21355290 is about 4621.1784211389. The cubic root of 21355290 is about 277.4396265056.

The spelling of 21355290 in words is "twenty-one million, three hundred fifty-five thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 37 45 53 55 66 74 90 99 106 110 111 121 159 165 185 198 222 242 265 318 330 333 363 370 407 477 495 530 555 583 605 666 726 795 814 954 990 1089 1110 1166 1210 1221 1590 1665 1749 1815 1961 2035 2178 2385 2442 2915 3330 3498 3630 3663 3922 4070 4477 4770 5247 5445 5830 5883 6105 6413 7326 8745 8954 9805 10494 10890 11766 12210 12826 13431 17490 17649 18315 19239 19610 21571 22385 26235 26862 29415 32065 35298 36630 38478 40293 43142 44770 52470 57717 58830 64130 64713 67155 80586 88245 96195 107855 115434 129426 134310 176490 192390 194139 201465 215710 237281 288585 323565 388278 402930 474562 577170 647130 711843 970695 1186405 1423686 1941390 2135529 2372810 3559215 4271058 7118430 10677645 21355290