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21376368 = 24321319601
BaseRepresentation
bin101000110001…
…0110101110000
31111020000212100
41101202311300
520433020433
62042100400
7346460526
oct121426560
944200770
1021376368
1111080422
1271aa700
134575a50
142ba6316
151d23b13
hex1462d70

21376368 has 120 divisors (see below), whose sum is σ = 67929680. Its totient is φ = 6220800.

The previous prime is 21376357. The next prime is 21376403. The reversal of 21376368 is 86367312.

It is a happy number.

21376368 is a `hidden beast` number, since 2 + 13 + 7 + 636 + 8 = 666.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 35268 + ... + 35868.

Almost surely, 221376368 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 21376368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33964840).

21376368 is an abundant number, since it is smaller than the sum of its proper divisors (46553312).

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

21376368 is a wasteful number, since it uses less digits than its factorization.

21376368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 638 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 21376368 is about 4623.4584457957. The cubic root of 21376368 is about 277.5308755517.

The spelling of 21376368 in words is "twenty-one million, three hundred seventy-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 36 38 39 48 52 57 72 76 78 104 114 117 144 152 156 171 208 228 234 247 304 312 342 456 468 494 601 624 684 741 912 936 988 1202 1368 1482 1803 1872 1976 2223 2404 2736 2964 3606 3952 4446 4808 5409 5928 7212 7813 8892 9616 10818 11419 11856 14424 15626 17784 21636 22838 23439 28848 31252 34257 35568 43272 45676 46878 62504 68514 70317 86544 91352 93756 102771 125008 137028 140634 148447 182704 187512 205542 274056 281268 296894 375024 411084 445341 548112 562536 593788 822168 890682 1125072 1187576 1336023 1644336 1781364 2375152 2672046 3562728 5344092 7125456 10688184 21376368