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21448920 = 2335473803
BaseRepresentation
bin101000111010…
…0100011011000
31111100201101110
41101310203120
520442331140
62043420320
7350212203
oct121644330
944321343
1021448920
111111a989
1272246a0
13459ca8c
142bc493a
151d3a380
hex14748d8

21448920 has 64 divisors (see below), whose sum is σ = 65733120. Its totient is φ = 5596544.

The previous prime is 21448913. The next prime is 21448927. The reversal of 21448920 is 2984412.

It is an interprime number because it is at equal distance from previous prime (21448913) and next prime (21448927).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21448927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3739 + ... + 7541.

It is an arithmetic number, because the mean of its divisors is an integer number (1027080).

Almost surely, 221448920 is an apocalyptic number.

21448920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21448920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32866560).

21448920 is an abundant number, since it is smaller than the sum of its proper divisors (44284200).

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

21448920 is a wasteful number, since it uses less digits than its factorization.

21448920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3864 (or 3860 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 21448920 is about 4631.2978742465. The cubic root of 21448920 is about 277.8445035555.

The spelling of 21448920 in words is "twenty-one million, four hundred forty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2820 3803 5640 7606 11409 15212 19015 22818 30424 38030 45636 57045 76060 91272 114090 152120 178741 228180 357482 456360 536223 714964 893705 1072446 1429928 1787410 2144892 2681115 3574820 4289784 5362230 7149640 10724460 21448920