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21387264 = 2113592
BaseRepresentation
bin101000110010…
…1100000000000
31111020120210220
41101211200000
520433343024
62042223040
7346534353
oct121454000
944216726
1021387264
1111088628
1271b4a80
13457a9b2
142baa29a
151d26e79
hex1465800

21387264 has 72 divisors (see below), whose sum is σ = 58001580. Its totient is φ = 7008256.

The previous prime is 21387257. The next prime is 21387277. The reversal of 21387264 is 46278312.

It is a super-2 number, since 2×213872642 = 914830122811392, which contains 22 as substring.

Its product of digits (16128) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 362467 + ... + 362525.

Almost surely, 221387264 is an apocalyptic number.

21387264 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 21387264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29000790).

21387264 is an abundant number, since it is smaller than the sum of its proper divisors (36614316).

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

21387264 is an frugal number, since it uses more digits than its factorization.

21387264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 64 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 21387264 is about 4624.6366343746. The cubic root of 21387264 is about 277.5780220512.

The spelling of 21387264 in words is "twenty-one million, three hundred eighty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 256 354 384 472 512 708 768 944 1024 1416 1536 1888 2048 2832 3072 3481 3776 5664 6144 6962 7552 10443 11328 13924 15104 20886 22656 27848 30208 41772 45312 55696 60416 83544 90624 111392 120832 167088 181248 222784 334176 362496 445568 668352 891136 1336704 1782272 2673408 3564544 5346816 7129088 10693632 21387264