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21541840 = 245674019
BaseRepresentation
bin101001000101…
…1001111010000
31111112102211221
41102023033100
521003314330
62045414424
7351050125
oct122131720
944472757
1021541840
1111183781
12726a414
134603168
142c0a74c
151d57b7a
hex148b3d0

21541840 has 40 divisors (see below), whose sum is σ = 50844960. Its totient is φ = 8486016.

The previous prime is 21541829. The next prime is 21541841. The reversal of 21541840 is 4814512.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21541841) 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 7 ways as a sum of consecutive naturals, for example, 3351 + ... + 7369.

It is an arithmetic number, because the mean of its divisors is an integer number (1271124).

Almost surely, 221541840 is an apocalyptic number.

21541840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21541840 is the 2680-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21541840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25422480).

21541840 is an abundant number, since it is smaller than the sum of its proper divisors (29303120).

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

21541840 is a wasteful number, since it uses less digits than its factorization.

21541840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4099 (or 4093 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 21541840 is about 4641.3187781061. The cubic root of 21541840 is about 278.2451471812.

The spelling of 21541840 in words is "twenty-one million, five hundred forty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 4019 5360 8038 16076 20095 32152 40190 64304 80380 160760 269273 321520 538546 1077092 1346365 2154184 2692730 4308368 5385460 10770920 21541840