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21045312 = 263319641
BaseRepresentation
bin101000001001…
…0000001000000
31110121012202000
41100102001000
520341422222
62031024000
7343611411
oct120220100
943535660
1021045312
1110974722
12706b000
13448b162
142b1b808
151caa9ac
hex1412040

21045312 has 112 divisors (see below), whose sum is σ = 65227200. Its totient is φ = 6635520.

The previous prime is 21045301. The next prime is 21045317. The reversal of 21045312 is 21354012.

21045312 is a `hidden beast` number, since 210 + 453 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21045317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32512 + ... + 33152.

Almost surely, 221045312 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 21045312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32613600).

21045312 is an abundant number, since it is smaller than the sum of its proper divisors (44181888).

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

21045312 is a wasteful number, since it uses less digits than its factorization.

21045312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 21045312 is about 4587.5169754454. The cubic root of 21045312 is about 276.0907074258.

Adding to 21045312 its reverse (21354012), we get a palindrome (42399324).

The spelling of 21045312 in words is "twenty-one million, forty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 641 684 864 912 1026 1216 1282 1368 1728 1824 1923 2052 2564 2736 3648 3846 4104 5128 5472 5769 7692 8208 10256 10944 11538 12179 15384 16416 17307 20512 23076 24358 30768 32832 34614 36537 41024 46152 48716 61536 69228 73074 92304 97432 109611 123072 138456 146148 184608 194864 219222 276912 292296 328833 369216 389728 438444 553824 584592 657666 779456 876888 1107648 1169184 1315332 1753776 2338368 2630664 3507552 5261328 7015104 10522656 21045312