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21453840 = 2432583359
BaseRepresentation
bin101000111010…
…1110000010000
31111100222010200
41101311300100
520443010330
62043455200
7350232432
oct121656020
944328120
1021453840
1111123651
127227500
1345a20a5
142bc6652
151d3ba60
hex1475c10

21453840 has 120 divisors (see below), whose sum is σ = 73120320. Its totient is φ = 5636352.

The previous prime is 21453833. The next prime is 21453853. The reversal of 21453840 is 4835412.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59581 + ... + 59939.

It is an arithmetic number, because the mean of its divisors is an integer number (609336).

Almost surely, 221453840 is an apocalyptic number.

21453840 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 21453840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36560160).

21453840 is an abundant number, since it is smaller than the sum of its proper divisors (51666480).

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

21453840 is a wasteful number, since it uses less digits than its factorization.

21453840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 21453840 is about 4631.8290123881. The cubic root of 21453840 is about 277.8657461239.

The spelling of 21453840 in words is "twenty-one million, four hundred fifty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 83 90 120 144 166 180 240 249 332 359 360 415 498 664 718 720 747 830 996 1077 1245 1328 1436 1494 1660 1795 1992 2154 2490 2872 2988 3231 3320 3590 3735 3984 4308 4980 5385 5744 5976 6462 6640 7180 7470 8616 9960 10770 11952 12924 14360 14940 16155 17232 19920 21540 25848 28720 29797 29880 32310 43080 51696 59594 59760 64620 86160 89391 119188 129240 148985 178782 238376 258480 268173 297970 357564 446955 476752 536346 595940 715128 893910 1072692 1191880 1340865 1430256 1787820 2145384 2383760 2681730 3575640 4290768 5363460 7151280 10726920 21453840