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21679650 = 2345253101
BaseRepresentation
bin101001010110…
…0111000100010
31111210102220000
41102230320202
521022222100
62052400430
7352162656
oct122547042
944712800
1021679650
1111268273
127316116
134650ac5
142c44a66
151d83900
hex14ace22

21679650 has 120 divisors (see below), whose sum is σ = 61981524. Its totient is φ = 5616000.

The previous prime is 21679631. The next prime is 21679661. The reversal of 21679650 is 5697612.

It can be written as a sum of positive squares in 6 ways, for example, as 16329681 + 5349969 = 4041^2 + 2313^2 .

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 59 ways as a sum of consecutive naturals, for example, 214600 + ... + 214700.

Almost surely, 221679650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21679650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30990762).

21679650 is an abundant number, since it is smaller than the sum of its proper divisors (40301874).

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

21679650 is a wasteful number, since it uses less digits than its factorization.

21679650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 21679650 is about 4656.1411061092. The cubic root of 21679650 is about 278.8372272883.

The spelling of 21679650 in words is "twenty-one million, six hundred seventy-nine thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 53 54 75 81 90 101 106 135 150 159 162 202 225 265 270 303 318 405 450 477 505 530 606 675 795 810 909 954 1010 1325 1350 1431 1515 1590 1818 2025 2385 2525 2650 2727 2862 3030 3975 4050 4293 4545 4770 5050 5353 5454 7155 7575 7950 8181 8586 9090 10706 11925 13635 14310 15150 16059 16362 21465 22725 23850 26765 27270 32118 35775 40905 42930 45450 48177 53530 68175 71550 80295 81810 96354 107325 133825 136350 144531 160590 204525 214650 240885 267650 289062 401475 409050 433593 481770 722655 802950 867186 1204425 1445310 2167965 2408850 3613275 4335930 7226550 10839825 21679650