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21211840 = 265135099
BaseRepresentation
bin101000011101…
…0101011000000
31110220200011201
41100322223000
520412234330
62034350544
7345204046
oct120725300
943820151
1021211840
1110a78851
12712b454
134518bb0
142b62396
151cdeeca
hex143aac0

21211840 has 56 divisors (see below), whose sum is σ = 54406800. Its totient is φ = 7830528.

The previous prime is 21211831. The next prime is 21211849. The reversal of 21211840 is 4811212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21211831) and next prime (21211849).

It is not an unprimeable number, because it can be changed into a prime (21211849) 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, 1611 + ... + 6709.

It is an arithmetic number, because the mean of its divisors is an integer number (971550).

Almost surely, 221211840 is an apocalyptic number.

21211840 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 21211840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27203400).

21211840 is an abundant number, since it is smaller than the sum of its proper divisors (33194960).

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

21211840 is a wasteful number, since it uses less digits than its factorization.

21211840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5129 (or 5119 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 21211840 is about 4605.6313356586. The cubic root of 21211840 is about 276.8170147804.

The spelling of 21211840 in words is "twenty-one million, two hundred eleven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 5099 10198 20396 25495 40792 50990 66287 81584 101980 132574 163168 203960 265148 326336 331435 407920 530296 662870 815840 1060592 1325740 1631680 2121184 2651480 4242368 5302960 10605920 21211840