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21008832 = 2631319443
BaseRepresentation
bin101000000100…
…1000111000000
31110112100200220
41100021013000
520334240312
62030143040
7343400145
oct120110700
943470626
1021008832
111094a279
127051a80
134477680
142b0c3cc
151c9ec8c
hex14091c0

21008832 has 112 divisors (see below), whose sum is σ = 63154560. Its totient is φ = 6110208.

The previous prime is 21008797. The next prime is 21008833. The reversal of 21008832 is 23880012.

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 (21008833) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 47203 + ... + 47645.

It is an arithmetic number, because the mean of its divisors is an integer number (563880).

Almost surely, 221008832 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 21008832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31577280).

21008832 is an abundant number, since it is smaller than the sum of its proper divisors (42145728).

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

21008832 is a wasteful number, since it uses less digits than its factorization.

21008832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 21008832 is about 4583.5392438595. The cubic root of 21008832 is about 275.9310897066.

Adding to 21008832 its reverse (23880012), we get a palindrome (44888844).

The spelling of 21008832 in words is "twenty-one million, eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 152 156 192 208 228 247 304 312 416 443 456 494 608 624 741 832 886 912 988 1216 1248 1329 1482 1772 1824 1976 2496 2658 2964 3544 3648 3952 5316 5759 5928 7088 7904 8417 10632 11518 11856 14176 15808 16834 17277 21264 23036 23712 25251 28352 33668 34554 42528 46072 47424 50502 67336 69108 85056 92144 101004 109421 134672 138216 184288 202008 218842 269344 276432 328263 368576 404016 437684 538688 552864 656526 808032 875368 1105728 1313052 1616064 1750736 2626104 3501472 5252208 7002944 10504416 21008832