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21036480 = 2635171289
BaseRepresentation
bin101000000111…
…1110111000000
31110120202121220
41100033313000
520341131410
62030515040
7343543563
oct120176700
943522556
1021036480
1110969023
127065a80
13448712a
142b184da
151ca8070
hex140fdc0

21036480 has 112 divisors (see below), whose sum is σ = 70774560. Its totient is φ = 5275648.

The previous prime is 21036479. The next prime is 21036481. The reversal of 21036480 is 8463012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21036479) and next prime (21036481).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21036480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21036481) 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 15 ways as a sum of consecutive naturals, for example, 15676 + ... + 16964.

Almost surely, 221036480 is an apocalyptic number.

21036480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35387280).

21036480 is an abundant number, since it is smaller than the sum of its proper divisors (49738080).

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

21036480 is a wasteful number, since it uses less digits than its factorization.

21036480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 21036480 is about 4586.5542621886. The cubic root of 21036480 is about 276.0520800692.

Adding to 21036480 its reverse (8463012), we get a palindrome (29499492).

The spelling of 21036480 in words is "twenty-one million, thirty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 1020 1088 1289 1360 1632 2040 2578 2720 3264 3867 4080 5156 5440 6445 7734 8160 10312 12890 15468 16320 19335 20624 21913 25780 30936 38670 41248 43826 51560 61872 65739 77340 82496 87652 103120 109565 123744 131478 154680 175304 206240 219130 247488 262956 309360 328695 350608 412480 438260 525912 618720 657390 701216 876520 1051824 1237440 1314780 1402432 1753040 2103648 2629560 3506080 4207296 5259120 7012160 10518240 21036480