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21323120 = 24571329101
BaseRepresentation
bin101000101010…
…1110101110000
31111010022211012
41101111311300
520424314440
62041010052
7346146350
oct121256560
944108735
1021323120
1111044415
127183928
134557740
142b90b60
151d12e65
hex1455d70

21323120 has 160 divisors (see below), whose sum is σ = 63745920. Its totient is φ = 6451200.

The previous prime is 21323089. The next prime is 21323129. The reversal of 21323120 is 2132312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 21323095 and 21323104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21323129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211070 + ... + 211170.

It is an arithmetic number, because the mean of its divisors is an integer number (398412).

Almost surely, 221323120 is an apocalyptic number.

21323120 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 21323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31872960).

21323120 is an abundant number, since it is smaller than the sum of its proper divisors (42422800).

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

21323120 is a wasteful number, since it uses less digits than its factorization.

21323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 21323120 is about 4617.6963953902. The cubic root of 21323120 is about 277.3002431139.

Adding to 21323120 its reverse (2132312), we get a palindrome (23455432).

The spelling of 21323120 in words is "twenty-one million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 29 35 40 52 56 58 65 70 80 91 101 104 112 116 130 140 145 182 202 203 208 232 260 280 290 364 377 404 406 455 464 505 520 560 580 707 728 754 808 812 910 1010 1015 1040 1160 1313 1414 1456 1508 1616 1624 1820 1885 2020 2030 2320 2626 2639 2828 2929 3016 3248 3535 3640 3770 4040 4060 5252 5278 5656 5858 6032 6565 7070 7280 7540 8080 8120 9191 10504 10556 11312 11716 13130 13195 14140 14645 15080 16240 18382 20503 21008 21112 23432 26260 26390 28280 29290 30160 36764 38077 41006 42224 45955 46864 52520 52780 56560 58580 73528 76154 82012 91910 102515 105040 105560 117160 147056 152308 164024 183820 190385 205030 211120 234320 266539 304616 328048 367640 380770 410060 533078 609232 735280 761540 820120 1066156 1332695 1523080 1640240 2132312 2665390 3046160 4264624 5330780 10661560 21323120