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21078264 = 2333141691
BaseRepresentation
bin101000001101…
…0000011111000
31110122212221110
41100122003320
520344001024
62031440320
7344106444
oct120320370
943585843
1021078264
1110997459
1270860a0
1344a015c
142b29824
151cb5629
hex141a0f8

21078264 has 64 divisors (see below), whose sum is σ = 55802880. Its totient is φ = 6624000.

The previous prime is 21078257. The next prime is 21078269. The reversal of 21078264 is 46287012.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21078269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30159 + ... + 30849.

It is an arithmetic number, because the mean of its divisors is an integer number (871920).

Almost surely, 221078264 is an apocalyptic number.

21078264 is a gapful number since it is divisible by the number (24) 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 21078264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27901440).

21078264 is an abundant number, since it is smaller than the sum of its proper divisors (34724616).

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

21078264 is a wasteful number, since it uses less digits than its factorization.

21078264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 768 counting only the distinct ones).

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

The square root of 21078264 is about 4591.1070560378. The cubic root of 21078264 is about 276.2347299491.

The spelling of 21078264 in words is "twenty-one million, seventy-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 31 41 62 82 93 123 124 164 186 246 248 328 372 492 691 744 984 1271 1382 2073 2542 2764 3813 4146 5084 5528 7626 8292 10168 15252 16584 21421 28331 30504 42842 56662 64263 84993 85684 113324 128526 169986 171368 226648 257052 339972 514104 679944 878261 1756522 2634783 3513044 5269566 7026088 10539132 21078264