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21421440 = 273253719
BaseRepresentation
bin101000110110…
…1110110000000
31111022022200200
41101231312000
520440441230
62043045200
7350036115
oct121556600
944268620
1021421440
1111101277
127210800
134590411
142bb890c
151d32160
hex146dd80

21421440 has 96 divisors (see below), whose sum is σ = 73990800. Its totient is φ = 5710848.

The previous prime is 21421427. The next prime is 21421451. The reversal of 21421440 is 4412412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3901 + ... + 7619.

Almost surely, 221421440 is an apocalyptic number.

21421440 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 21421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36995400).

21421440 is an abundant number, since it is smaller than the sum of its proper divisors (52569360).

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

21421440 is a wasteful number, since it uses less digits than its factorization.

21421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744 (or 3729 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 21421440 is about 4628.3301524416. The cubic root of 21421440 is about 277.7257962583.

Adding to 21421440 its reverse (4412412), we get a palindrome (25833852).

Subtracting from 21421440 its reverse (4412412), we obtain a triangular number (17009028 = T5832).

The spelling of 21421440 in words is "twenty-one million, four hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 3719 5760 7438 11157 14876 18595 22314 29752 33471 37190 44628 55785 59504 66942 74380 89256 111570 119008 133884 148760 167355 178512 223140 238016 267768 297520 334710 357024 446280 476032 535536 595040 669420 714048 892560 1071072 1190080 1338840 1428096 1785120 2142144 2380160 2677680 3570240 4284288 5355360 7140480 10710720 21421440