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21412944 = 243377397
BaseRepresentation
bin101000110101…
…1110001010000
31111021220001000
41101223301100
520440203234
62042542000
7350002260
oct121536120
944256030
1021412944
11110a5953
127207900
1345895a7
142bb57a0
151d2e899
hex146bc50

21412944 has 160 divisors (see below), whose sum is σ = 71939840. Its totient is φ = 5971968.

The previous prime is 21412889. The next prime is 21412949. The reversal of 21412944 is 44921412.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21412949) 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 31 ways as a sum of consecutive naturals, for example, 220704 + ... + 220800.

It is an arithmetic number, because the mean of its divisors is an integer number (449624).

Almost surely, 221412944 is an apocalyptic number.

21412944 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 21412944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35969920).

21412944 is an abundant number, since it is smaller than the sum of its proper divisors (50526896).

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

21412944 is a wasteful number, since it uses less digits than its factorization.

21412944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 182 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 21412944 is about 4627.4122357966. The cubic root of 21412944 is about 277.6890749427.

The spelling of 21412944 in words is "twenty-one million, four hundred twelve thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 73 84 97 108 112 126 144 146 168 189 194 216 219 252 291 292 336 378 388 432 438 504 511 582 584 657 679 756 776 873 876 1008 1022 1164 1168 1314 1358 1512 1533 1552 1746 1752 1971 2037 2044 2328 2619 2628 2716 3024 3066 3492 3504 3942 4074 4088 4599 4656 5238 5256 5432 6111 6132 6984 7081 7884 8148 8176 9198 10476 10512 10864 12222 12264 13797 13968 14162 15768 16296 18333 18396 20952 21243 24444 24528 27594 28324 31536 32592 36666 36792 41904 42486 48888 49567 55188 56648 63729 73332 73584 84972 97776 99134 110376 113296 127458 146664 148701 169944 191187 198268 220752 254916 293328 297402 339888 382374 396536 446103 509832 594804 764748 793072 892206 1019664 1189608 1338309 1529496 1784412 2379216 2676618 3058992 3568824 5353236 7137648 10706472 21412944