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21426768 = 243611167
BaseRepresentation
bin101000110111…
…1001001010000
31111022121000000
41101233021100
520441124033
62043130000
7350060466
oct121571120
944277000
1021426768
1111105280
127213900
13459297c
142bba836
151d33a13
hex146f250

21426768 has 140 divisors (see below), whose sum is σ = 68308128. Its totient is φ = 6454080.

The previous prime is 21426767. The next prime is 21426773. The reversal of 21426768 is 86762412.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21426763) 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 27 ways as a sum of consecutive naturals, for example, 128221 + ... + 128387.

Almost surely, 221426768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21426768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34154064).

21426768 is an abundant number, since it is smaller than the sum of its proper divisors (46881360).

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

21426768 is a wasteful number, since it uses less digits than its factorization.

21426768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 183 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 21426768 is about 4628.9057022152. The cubic root of 21426768 is about 277.7488199265.

The spelling of 21426768 in words is "twenty-one million, four hundred twenty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 167 176 198 216 243 264 297 324 334 396 432 486 501 528 594 648 668 729 792 891 972 1002 1188 1296 1336 1458 1503 1584 1782 1837 1944 2004 2376 2672 2673 2916 3006 3564 3674 3888 4008 4509 4752 5346 5511 5832 6012 7128 7348 8016 8019 9018 10692 11022 11664 12024 13527 14256 14696 16038 16533 18036 21384 22044 24048 27054 29392 32076 33066 36072 40581 42768 44088 49599 54108 64152 66132 72144 81162 88176 99198 108216 121743 128304 132264 148797 162324 198396 216432 243486 264528 297594 324648 396792 446391 486972 595188 649296 793584 892782 973944 1190376 1339173 1785564 1947888 2380752 2678346 3571128 5356692 7142256 10713384 21426768