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21009672 = 2333234229
BaseRepresentation
bin101000000100…
…1010100001000
31110112101212000
41100021110020
520334302142
62030151000
7343402455
oct120112410
943471760
1021009672
111094a972
127052460
134477b78
142b0c82c
151ca014c
hex1409508

21009672 has 64 divisors (see below), whose sum is σ = 60912000. Its totient is φ = 6697152.

The previous prime is 21009643. The next prime is 21009679. The reversal of 21009672 is 27690012.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (21009679) 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, 2854 + ... + 7082.

It is an arithmetic number, because the mean of its divisors is an integer number (951750).

Almost surely, 221009672 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 21009672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30456000).

21009672 is an abundant number, since it is smaller than the sum of its proper divisors (39902328).

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

21009672 is a wasteful number, since it uses less digits than its factorization.

21009672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4267 (or 4257 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 21009672 is about 4583.6308751905. The cubic root of 21009672 is about 275.9347671921.

Adding to 21009672 its reverse (27690012), we get a palindrome (48699684).

The spelling of 21009672 in words is "twenty-one million, nine thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4229 4968 8458 12687 16916 25374 33832 38061 50748 76122 97267 101496 114183 152244 194534 228366 291801 304488 389068 456732 583602 778136 875403 913464 1167204 1750806 2334408 2626209 3501612 5252418 7003224 10504836 21009672