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21241944 = 2332312307
BaseRepresentation
bin101000100001…
…0000001011000
31110222012110200
41101002001120
520414220234
62035142200
7345360603
oct121020130
943865420
1021241944
1110a99429
127144960
1345297c9
142b6d33a
151ce8d99
hex1442058

21241944 has 72 divisors (see below), whose sum is σ = 59639580. Its totient is φ = 6829920.

The previous prime is 21241939. The next prime is 21241951. The reversal of 21241944 is 44914212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

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 17 ways as a sum of consecutive naturals, for example, 69039 + ... + 69345.

Almost surely, 221241944 is an apocalyptic number.

21241944 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 21241944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29819790).

21241944 is an abundant number, since it is smaller than the sum of its proper divisors (38397636).

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

21241944 is a wasteful number, since it uses less digits than its factorization.

21241944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 343 counting only the distinct ones).

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

The square root of 21241944 is about 4608.8983499314. The cubic root of 21241944 is about 276.9479064631.

The spelling of 21241944 in words is "twenty-one million, two hundred forty-one thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 307 372 558 614 744 921 961 1116 1228 1842 1922 2232 2456 2763 2883 3684 3844 5526 5766 7368 7688 8649 9517 11052 11532 17298 19034 22104 23064 28551 34596 38068 57102 69192 76136 85653 114204 171306 228408 295027 342612 590054 685224 885081 1180108 1770162 2360216 2655243 3540324 5310486 7080648 10620972 21241944