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21854380 = 22531101349
BaseRepresentation
bin101001101011…
…1100010101100
31112010022120111
41103113202230
521043320010
62100225404
7353521252
oct123274254
945108514
1021854380
1111377579
12739b264
1346b24b2
142c8c5d2
151dba58a
hex14d78ac

21854380 has 48 divisors (see below), whose sum is σ = 47980800. Its totient is φ = 8352000.

The previous prime is 21854369. The next prime is 21854419. The reversal of 21854380 is 8345812.

It is a super-2 number, since 2×218543802 = 955227850368800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62446 + ... + 62794.

It is an arithmetic number, because the mean of its divisors is an integer number (999600).

Almost surely, 221854380 is an apocalyptic number.

21854380 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 21854380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23990400).

21854380 is an abundant number, since it is smaller than the sum of its proper divisors (26126420).

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

21854380 is a wasteful number, since it uses less digits than its factorization.

21854380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 21854380 is about 4674.8668430234. The cubic root of 21854380 is about 279.5843322146.

The spelling of 21854380 in words is "twenty-one million, eight hundred fifty-four thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 31 62 101 124 155 202 310 349 404 505 620 698 1010 1396 1745 2020 3131 3490 6262 6980 10819 12524 15655 21638 31310 35249 43276 54095 62620 70498 108190 140996 176245 216380 352490 704980 1092719 2185438 4370876 5463595 10927190 21854380