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21264078 = 23111931547
BaseRepresentation
bin101000100011…
…1011011001110
31111000022211110
41101013123032
520420422303
62035432450
7345512253
oct121073316
944008743
1021264078
1111004020
127155726
1345368c4
142b7742a
151d00703
hex14476ce

21264078 has 64 divisors (see below), whose sum is σ = 50503680. Its totient is φ = 5896800.

The previous prime is 21264073. The next prime is 21264079. The reversal of 21264078 is 87046212.

It is a super-2 number, since 2×212640782 = 904322026380168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21264071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38601 + ... + 39147.

It is an arithmetic number, because the mean of its divisors is an integer number (789120).

Almost surely, 221264078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21264078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25251840).

21264078 is an abundant number, since it is smaller than the sum of its proper divisors (29239602).

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

21264078 is a wasteful number, since it uses less digits than its factorization.

21264078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613.

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 21264078 is about 4611.2989493200. The cubic root of 21264078 is about 277.0440658520.

It can be divided in two parts, 212640 and 78, that multiplied together give a triangular number (16585920 = T5759).

The spelling of 21264078 in words is "twenty-one million, two hundred sixty-four thousand, seventy-eight".

Divisors: 1 2 3 6 11 19 22 31 33 38 57 62 66 93 114 186 209 341 418 547 589 627 682 1023 1094 1178 1254 1641 1767 2046 3282 3534 6017 6479 10393 12034 12958 16957 18051 19437 20786 31179 33914 36102 38874 50871 62358 101742 114323 186527 228646 322183 342969 373054 559581 644366 685938 966549 1119162 1933098 3544013 7088026 10632039 21264078