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21427392 = 2637107149
BaseRepresentation
bin101000110111…
…1010011000000
31111022121212010
41101233103000
520441134032
62043132520
7350062350
oct121572300
944277763
1021427392
1111105798
127214140
13459303c
142bbab60
151d33ccc
hex146f4c0

21427392 has 112 divisors (see below), whose sum is σ = 65836800. Its totient is φ = 6024192.

The previous prime is 21427381. The next prime is 21427447. The reversal of 21427392 is 29372412.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 143734 + ... + 143882.

Almost surely, 221427392 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 21427392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32918400).

21427392 is an abundant number, since it is smaller than the sum of its proper divisors (44409408).

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

21427392 is a wasteful number, since it uses less digits than its factorization.

21427392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 268 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 21427392 is about 4628.9731042641. The cubic root of 21427392 is about 277.7515161424.

The spelling of 21427392 in words is "twenty-one million, four hundred twenty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 107 112 149 168 192 214 224 298 321 336 428 447 448 596 642 672 749 856 894 1043 1192 1284 1344 1498 1712 1788 2086 2247 2384 2568 2996 3129 3424 3576 4172 4494 4768 5136 5992 6258 6848 7152 8344 8988 9536 10272 11984 12516 14304 15943 16688 17976 20544 23968 25032 28608 31886 33376 35952 47829 47936 50064 63772 66752 71904 95658 100128 111601 127544 143808 191316 200256 223202 255088 334803 382632 446404 510176 669606 765264 892808 1020352 1339212 1530528 1785616 2678424 3061056 3571232 5356848 7142464 10713696 21427392