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21679974 = 235311439
BaseRepresentation
bin101001010110…
…0111101100110
31111210110100000
41102230331212
521022224344
62052402130
7352163631
oct122547546
944713300
1021679974
1111268538
127316346
134650cb4
142c44c18
151d83a69
hex14acf66

21679974 has 48 divisors (see below), whose sum is σ = 50319360. Its totient is φ = 6988680.

The previous prime is 21679967. The next prime is 21679979. The reversal of 21679974 is 47997612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21679979) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14347 + ... + 15785.

It is an arithmetic number, because the mean of its divisors is an integer number (1048320).

Almost surely, 221679974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21679974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25159680).

21679974 is an abundant number, since it is smaller than the sum of its proper divisors (28639386).

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

21679974 is a wasteful number, since it uses less digits than its factorization.

21679974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1475 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 21679974 is about 4656.1758987392. The cubic root of 21679974 is about 278.8386163453.

The spelling of 21679974 in words is "twenty-one million, six hundred seventy-nine thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 279 486 558 837 1439 1674 2511 2878 4317 5022 7533 8634 12951 15066 25902 38853 44609 77706 89218 116559 133827 233118 267654 349677 401481 699354 802962 1204443 2408886 3613329 7226658 10839987 21679974