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21401040 = 2435233877
BaseRepresentation
bin101000110100…
…0110111010000
31111021021201010
41101220313100
520434313130
62042410520
7346622463
oct121506720
944237633
1021401040
1111097a11
127200a40
13458404b
142bb12da
151d2b0b0
hex1468dd0

21401040 has 80 divisors (see below), whose sum is σ = 69245568. Its totient is φ = 5457408.

The previous prime is 21400997. The next prime is 21401047. The reversal of 21401040 is 4010412.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21401047) 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, 3582 + ... + 7458.

Almost surely, 221401040 is an apocalyptic number.

21401040 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 21401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34622784).

21401040 is an abundant number, since it is smaller than the sum of its proper divisors (47844528).

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

21401040 is a wasteful number, since it uses less digits than its factorization.

21401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3916 (or 3910 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 21401040 is about 4626.1258089248. The cubic root of 21401040 is about 277.6376072651.

Adding to 21401040 its reverse (4010412), we get a palindrome (25411452).

The spelling of 21401040 in words is "twenty-one million, four hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 3877 5520 7754 11631 15508 19385 23262 31016 38770 46524 58155 62032 77540 89171 93048 116310 155080 178342 186096 232620 267513 310160 356684 445855 465240 535026 713368 891710 930480 1070052 1337565 1426736 1783420 2140104 2675130 3566840 4280208 5350260 7133680 10700520 21401040