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21343680 = 263257411
BaseRepresentation
bin101000101101…
…0110111000000
31111011101000200
41101122313000
520430444210
62041245200
7346263321
oct121326700
944141020
1021343680
1111058906
127193800
134563bc7
142b98448
151d190c0
hex145adc0

21343680 has 84 divisors (see below), whose sum is σ = 73423272. Its totient is φ = 5690880.

The previous prime is 21343661. The next prime is 21343691. The reversal of 21343680 is 8634312.

It is a happy number.

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, 826 + ... + 6585.

Almost surely, 221343680 is an apocalyptic number.

21343680 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 21343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36711636).

21343680 is an abundant number, since it is smaller than the sum of its proper divisors (52079592).

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

21343680 is a wasteful number, since it uses less digits than its factorization.

21343680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7434 (or 7421 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 21343680 is about 4619.9220772649. The cubic root of 21343680 is about 277.3893398559.

Adding to 21343680 its reverse (8634312), we get a palindrome (29977992).

The spelling of 21343680 in words is "twenty-one million, three hundred forty-three thousand, six hundred eighty".

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 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 7411 14822 22233 29644 37055 44466 59288 66699 74110 88932 111165 118576 133398 148220 177864 222330 237152 266796 296440 333495 355728 444660 474304 533592 592880 666990 711456 889320 1067184 1185760 1333980 1422912 1778640 2134368 2371520 2667960 3557280 4268736 5335920 7114560 10671840 21343680