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21477312 = 26351381
BaseRepresentation
bin101000111101…
…1011111000000
31111102011100000
41101323133000
520444233222
62044200000
7350361033
oct121733700
944364300
1021477312
111113a24a
127239000
1345ac98c
142bd101a
151d439ac
hex147b7c0

21477312 has 84 divisors (see below), whose sum is σ = 63887096. Its totient is φ = 7153920.

The previous prime is 21477301. The next prime is 21477343. The reversal of 21477312 is 21377412.

It is a happy number.

It is a super-2 number, since 2×214773122 = 922549861490688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 14862 + ... + 16242.

Almost surely, 221477312 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 21477312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31943548).

21477312 is an abundant number, since it is smaller than the sum of its proper divisors (42409784).

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

21477312 is an equidigital number, since it uses as much as digits as its factorization.

21477312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1386 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 21477312 is about 4634.3620920252. The cubic root of 21477312 is about 277.9670440377.

The spelling of 21477312 in words is "twenty-one million, four hundred seventy-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1381 1728 1944 2592 2762 3888 4143 5184 5524 7776 8286 11048 12429 15552 16572 22096 24858 33144 37287 44192 49716 66288 74574 88384 99432 111861 132576 149148 198864 223722 265152 298296 335583 397728 447444 596592 671166 795456 894888 1193184 1342332 1789776 2386368 2684664 3579552 5369328 7159104 10738656 21477312