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21232120 = 23571319307
BaseRepresentation
bin101000011111…
…1100111111000
31110221200222211
41100333213320
520413411440
62035024504
7345320140
oct120774770
943850884
1021232120
1110a92008
12713b134
1345251b0
142b69920
151ce5eea
hex143f9f8

21232120 has 128 divisors (see below), whose sum is σ = 62092800. Its totient is φ = 6345216.

The previous prime is 21232103. The next prime is 21232121. The reversal of 21232120 is 2123212.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 21232120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21232121) 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, 69007 + ... + 69313.

It is an arithmetic number, because the mean of its divisors is an integer number (485100).

Almost surely, 221232120 is an apocalyptic number.

21232120 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 21232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31046400).

21232120 is an abundant number, since it is smaller than the sum of its proper divisors (40860680).

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

21232120 is a wasteful number, since it uses less digits than its factorization.

21232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 21232120 is about 4607.8324622321. The cubic root of 21232120 is about 276.9052054785.

Adding to 21232120 its reverse (2123212), we get a palindrome (23355332).

The spelling of 21232120 in words is "twenty-one million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 19 20 26 28 35 38 40 52 56 65 70 76 91 95 104 130 133 140 152 182 190 247 260 266 280 307 364 380 455 494 520 532 614 665 728 760 910 988 1064 1228 1235 1330 1535 1729 1820 1976 2149 2456 2470 2660 3070 3458 3640 3991 4298 4940 5320 5833 6140 6916 7982 8596 8645 9880 10745 11666 12280 13832 15964 17192 17290 19955 21490 23332 27937 29165 31928 34580 39910 40831 42980 46664 55874 58330 69160 75829 79820 81662 85960 111748 116660 139685 151658 159640 163324 204155 223496 233320 279370 303316 326648 379145 408310 530803 558740 606632 758290 816620 1061606 1117480 1516580 1633240 2123212 2654015 3033160 4246424 5308030 10616060 21232120