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21986928 = 2432179853
BaseRepresentation
bin101001111011…
…1111001110000
31112101001101200
41103313321300
521112040203
62103131200
7354612555
oct123677160
945331350
1021986928
1111458117
127443b00
13472a922
142cc4a2c
151de49a3
hex14f7e70

21986928 has 60 divisors (see below), whose sum is σ = 61949160. Its totient is φ = 7279488.

The previous prime is 21986903. The next prime is 21986953. The reversal of 21986928 is 82968912.

It is an interprime number because it is at equal distance from previous prime (21986903) and next prime (21986953).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25350 + ... + 26202.

It is an arithmetic number, because the mean of its divisors is an integer number (1032486).

Almost surely, 221986928 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 21986928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30974580).

21986928 is an abundant number, since it is smaller than the sum of its proper divisors (39962232).

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

21986928 is a wasteful number, since it uses less digits than its factorization.

21986928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1037 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 21986928 is about 4689.0220728847. The cubic root of 21986928 is about 280.1484247093.

The spelling of 21986928 in words is "twenty-one million, nine hundred eighty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 179 358 537 716 853 1074 1432 1611 1706 2148 2559 2864 3222 3412 4296 5118 6444 6824 7677 8592 10236 12888 13648 15354 20472 25776 30708 40944 61416 122832 152687 305374 458061 610748 916122 1221496 1374183 1832244 2442992 2748366 3664488 5496732 7328976 10993464 21986928