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21123936 = 2533231063
BaseRepresentation
bin101000010010…
…1001101100000
31110202012121000
41100211031200
520401431221
62032432000
7344356551
oct120451540
943665530
1021123936
1110a187a9
1270a8600
1344b7b92
142b3c328
151cc3e26
hex1425360

21123936 has 96 divisors (see below), whose sum is σ = 64350720. Its totient is φ = 6728832.

The previous prime is 21123917. The next prime is 21123983. The reversal of 21123936 is 63932112.

It is a tau number, because it is divible by the number of its divisors (96).

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19341 + ... + 20403.

It is an arithmetic number, because the mean of its divisors is an integer number (670320).

Almost surely, 221123936 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 21123936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32175360).

21123936 is an abundant number, since it is smaller than the sum of its proper divisors (43226784).

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

21123936 is a wasteful number, since it uses less digits than its factorization.

21123936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1091 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 21123936 is about 4596.0783283143. The cubic root of 21123936 is about 276.4340994885.

The spelling of 21123936 in words is "twenty-one million, one hundred twenty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 1063 1104 1242 1656 2126 2208 2484 3189 3312 4252 4968 6378 6624 8504 9567 9936 12756 17008 19134 19872 24449 25512 28701 34016 38268 48898 51024 57402 73347 76536 97796 102048 114804 146694 153072 195592 220041 229608 293388 306144 391184 440082 459216 586776 660123 782368 880164 918432 1173552 1320246 1760328 2347104 2640492 3520656 5280984 7041312 10561968 21123936