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21023952 = 2433171199
BaseRepresentation
bin101000000110…
…0110011010000
31110120010102220
41100030303100
520340231302
62030341040
7343462215
oct120146320
943503386
1021023952
111095a674
12705a780
134481511
142b13b0c
151ca44bc
hex140ccd0

21023952 has 80 divisors (see below), whose sum is σ = 57139200. Its totient is φ = 6652800.

The previous prime is 21023941. The next prime is 21023953. The reversal of 21023952 is 25932012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21023953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105549 + ... + 105747.

It is an arithmetic number, because the mean of its divisors is an integer number (714240).

Almost surely, 221023952 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 21023952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28569600).

21023952 is an abundant number, since it is smaller than the sum of its proper divisors (36115248).

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

21023952 is a wasteful number, since it uses less digits than its factorization.

21023952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 21023952 is about 4585.1883276481. The cubic root of 21023952 is about 275.9972694542.

Adding to 21023952 its reverse (25932012), we get a palindrome (46955964).

The spelling of 21023952 in words is "twenty-one million, twenty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 71 93 124 142 186 199 213 248 284 372 398 426 496 568 597 744 796 852 1136 1194 1488 1592 1704 2201 2388 3184 3408 4402 4776 6169 6603 8804 9552 12338 13206 14129 17608 18507 24676 26412 28258 35216 37014 42387 49352 52824 56516 74028 84774 98704 105648 113032 148056 169548 226064 296112 339096 437999 678192 875998 1313997 1751996 2627994 3503992 5255988 7007984 10511976 21023952