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21287232 = 263397127
BaseRepresentation
bin101000100110…
…1000101000000
31111001111121000
41101031011000
520422142412
62040132000
7345636621
oct121150500
944044530
1021287232
111101a45a
127167000
1345442c5
142b81a48
151d074dc
hex144d140

21287232 has 112 divisors (see below), whose sum is σ = 63723520. Its totient is φ = 6967296.

The previous prime is 21287221. The next prime is 21287243. The reversal of 21287232 is 23278212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21287221) and next prime (21287243).

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

It is a junction number, because it is equal to n+sod(n) for n = 21287196 and 21287205.

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, 167553 + ... + 167679.

It is an arithmetic number, because the mean of its divisors is an integer number (568960).

Almost surely, 221287232 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 21287232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31861760).

21287232 is an abundant number, since it is smaller than the sum of its proper divisors (42436288).

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

21287232 is a wasteful number, since it uses less digits than its factorization.

21287232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 229 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 21287232 is about 4613.8088386928. The cubic root of 21287232 is about 277.1445851635.

The spelling of 21287232 in words is "twenty-one million, two hundred eighty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 97 108 127 144 192 194 216 254 288 291 381 388 432 508 576 582 762 776 864 873 1016 1143 1164 1524 1552 1728 1746 2032 2286 2328 2619 3048 3104 3429 3492 4064 4572 4656 5238 6096 6208 6858 6984 8128 9144 9312 10476 12192 12319 13716 13968 18288 18624 20952 24384 24638 27432 27936 36576 36957 41904 49276 54864 55872 73152 73914 83808 98552 109728 110871 147828 167616 197104 219456 221742 295656 332613 394208 443484 591312 665226 788416 886968 1182624 1330452 1773936 2365248 2660904 3547872 5321808 7095744 10643616 21287232