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21364300 = 22522953139
BaseRepresentation
bin101000101111…
…1111001001100
31111012102022101
41101133321030
520432124200
62041524444
7346410406
oct121377114
944172271
1021364300
1111072351
1271a3724
1345703c9
142ba1b76
151d2026a
hex145fe4c

21364300 has 72 divisors (see below), whose sum is σ = 49215600. Its totient is φ = 8037120.

The previous prime is 21364267. The next prime is 21364307. The reversal of 21364300 is 346312.

It is not an unprimeable number, because it can be changed into a prime (21364307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153631 + ... + 153769.

It is an arithmetic number, because the mean of its divisors is an integer number (683550).

Almost surely, 221364300 is an apocalyptic number.

21364300 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 21364300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24607800).

21364300 is an abundant number, since it is smaller than the sum of its proper divisors (27851300).

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

21364300 is a wasteful number, since it uses less digits than its factorization.

21364300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 21364300 is about 4622.1531779031. The cubic root of 21364300 is about 277.4786391587.

The spelling of 21364300 in words is "twenty-one million, three hundred sixty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 53 58 100 106 116 139 145 212 265 278 290 530 556 580 695 725 1060 1325 1390 1450 1537 2650 2780 2900 3074 3475 4031 5300 6148 6950 7367 7685 8062 13900 14734 15370 16124 20155 29468 30740 36835 38425 40310 73670 76850 80620 100775 147340 153700 184175 201550 213643 368350 403100 427286 736700 854572 1068215 2136430 4272860 5341075 10682150 21364300