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21247590 = 23571343181
BaseRepresentation
bin101000100001…
…1011001100110
31110222111012210
41101003121212
520414410330
62035224250
7345413220
oct121033146
943874183
1021247590
1110aa26a1
127148086
13452c250
142b71410
151cea8b0
hex1443666

21247590 has 128 divisors (see below), whose sum is σ = 64576512. Its totient is φ = 4354560.

The previous prime is 21247579. The next prime is 21247591. The reversal of 21247590 is 9574212.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21247591) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 117300 + ... + 117480.

It is an arithmetic number, because the mean of its divisors is an integer number (504504).

Almost surely, 221247590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21247590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32288256).

21247590 is an abundant number, since it is smaller than the sum of its proper divisors (43328922).

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

21247590 is a wasteful number, since it uses less digits than its factorization.

21247590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 21247590 is about 4609.5108200329. The cubic root of 21247590 is about 276.9724414015.

The spelling of 21247590 in words is "twenty-one million, two hundred forty-seven thousand, five hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 43 65 70 78 86 91 105 129 130 181 182 195 210 215 258 273 301 362 390 430 455 543 546 559 602 645 903 905 910 1086 1118 1267 1290 1365 1505 1677 1806 1810 2353 2534 2715 2730 2795 3010 3354 3801 3913 4515 4706 5430 5590 6335 7059 7602 7783 7826 8385 9030 11739 11765 12670 14118 15566 16471 16770 19005 19565 23349 23478 23530 32942 35295 38010 38915 39130 46698 49413 54481 58695 70590 77830 82355 98826 101179 108962 116745 117390 163443 164710 202358 233490 247065 272405 303537 326886 494130 505895 544810 607074 708253 817215 1011790 1416506 1517685 1634430 2124759 3035370 3541265 4249518 7082530 10623795 21247590