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21428874 = 2341731251
BaseRepresentation
bin101000110111…
…1101010001010
31111022200220000
41101233222022
520441210444
62043143430
7350066565
oct121575212
944280800
1021428874
1111106915
127214b76
13459390c
142bbb4dc
151d34469
hex146fa8a

21428874 has 80 divisors (see below), whose sum is σ = 52690176. Its totient is φ = 6480000.

The previous prime is 21428861. The next prime is 21428887. The reversal of 21428874 is 47882412.

It is an interprime number because it is at equal distance from previous prime (21428861) and next prime (21428887).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 85249 + ... + 85499.

Almost surely, 221428874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21428874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26345088).

21428874 is an abundant number, since it is smaller than the sum of its proper divisors (31261302).

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

21428874 is a wasteful number, since it uses less digits than its factorization.

21428874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 304 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 21428874 is about 4629.1331801969. The cubic root of 21428874 is about 277.7579194455.

The spelling of 21428874 in words is "twenty-one million, four hundred twenty-eight thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 27 31 34 51 54 62 81 93 102 153 162 186 251 279 306 459 502 527 558 753 837 918 1054 1377 1506 1581 1674 2259 2511 2754 3162 4267 4518 4743 5022 6777 7781 8534 9486 12801 13554 14229 15562 20331 23343 25602 28458 38403 40662 42687 46686 70029 76806 85374 115209 132277 140058 210087 230418 264554 345627 396831 420174 630261 691254 793662 1190493 1260522 2380986 3571479 7142958 10714437 21428874