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21300160 = 265737257
BaseRepresentation
bin101000101000…
…0001111000000
31111002011022211
41101100033000
520423101120
62040311504
7346022410
oct121201700
944064284
1021300160
1111029142
127172594
13454a15b
142b86640
151d0b25a
hex14503c0

21300160 has 112 divisors (see below), whose sum is σ = 59765184. Its totient is φ = 7077888.

The previous prime is 21300143. The next prime is 21300173. The reversal of 21300160 is 6100312.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 21300160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82752 + ... + 83008.

Almost surely, 221300160 is an apocalyptic number.

21300160 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 21300160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29882592).

21300160 is an abundant number, since it is smaller than the sum of its proper divisors (38465024).

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

21300160 is a wasteful number, since it uses less digits than its factorization.

21300160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 21300160 is about 4615.2096377088. The cubic root of 21300160 is about 277.2006782576.

Adding to 21300160 its reverse (6100312), we get a palindrome (27400472).

The spelling of 21300160 in words is "twenty-one million, three hundred thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 64 70 74 80 112 140 148 160 185 224 257 259 280 296 320 370 448 514 518 560 592 740 1028 1036 1120 1184 1285 1295 1480 1799 2056 2072 2240 2368 2570 2590 2960 3598 4112 4144 5140 5180 5920 7196 8224 8288 8995 9509 10280 10360 11840 14392 16448 16576 17990 19018 20560 20720 28784 35980 38036 41120 41440 47545 57568 66563 71960 76072 82240 82880 95090 115136 133126 143920 152144 190180 266252 287840 304288 332815 380360 532504 575680 608576 665630 760720 1065008 1331260 1521440 2130016 2662520 3042880 4260032 5325040 10650080 21300160