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21087136 = 257234093
BaseRepresentation
bin101000001110…
…0001110100000
31110200100010001
41100130032200
520344242021
62031545344
7344144350
oct120341640
943610101
1021087136
11109a3094
12708b254
1344a41c5
142b2cb60
151cb8091
hex141c3a0

21087136 has 48 divisors (see below), whose sum is σ = 49521024. Its totient is φ = 8642304.

The previous prime is 21087133. The next prime is 21087137. The reversal of 21087136 is 63178012.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (21087133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3106 + ... + 7198.

It is an arithmetic number, because the mean of its divisors is an integer number (1031688).

Almost surely, 221087136 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 21087136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24760512).

21087136 is an abundant number, since it is smaller than the sum of its proper divisors (28433888).

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

21087136 is a wasteful number, since it uses less digits than its factorization.

21087136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4133 (or 4125 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 21087136 is about 4592.0731701488. The cubic root of 21087136 is about 276.2734809385.

It can be divided in two parts, 210871 and 36, that multiplied together give a triangular number (7591356 = T3896).

The spelling of 21087136 in words is "twenty-one million, eighty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 4093 5152 8186 16372 28651 32744 57302 65488 94139 114604 130976 188278 229208 376556 458416 658973 753112 916832 1317946 1506224 2635892 3012448 5271784 10543568 21087136