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21359400 = 2335297367
BaseRepresentation
bin101000101111…
…0101100101000
31111012011120220
41101132230220
520432000100
62041450040
7346360206
oct121365450
944164526
1021359400
11110696a7
1271a0920
13456b0ca
142ba0076
151d1daa0
hex145eb28

21359400 has 96 divisors (see below), whose sum is σ = 67079040. Its totient is φ = 5621760.

The previous prime is 21359389. The next prime is 21359413. The reversal of 21359400 is 495312.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 58017 + ... + 58383.

It is an arithmetic number, because the mean of its divisors is an integer number (698740).

Almost surely, 221359400 is an apocalyptic number.

21359400 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 21359400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33539520).

21359400 is an abundant number, since it is smaller than the sum of its proper divisors (45719640).

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

21359400 is a wasteful number, since it uses less digits than its factorization.

21359400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 21359400 is about 4621.6230915123. The cubic root of 21359400 is about 277.4574238714.

The spelling of 21359400 in words is "twenty-one million, three hundred fifty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 97 100 120 150 194 200 291 300 367 388 485 582 600 734 776 970 1101 1164 1455 1468 1835 1940 2202 2328 2425 2910 2936 3670 3880 4404 4850 5505 5820 7275 7340 8808 9175 9700 11010 11640 14550 14680 18350 19400 22020 27525 29100 35599 36700 44040 55050 58200 71198 73400 106797 110100 142396 177995 213594 220200 284792 355990 427188 533985 711980 854376 889975 1067970 1423960 1779950 2135940 2669925 3559900 4271880 5339850 7119800 10679700 21359400