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20230320 = 2435117997
BaseRepresentation
bin100110100101…
…1000010110000
31102001210210010
41031023002300
520134332240
62001334520
7333645345
oct115130260
942053703
1020230320
1110468380
126937440
134264206
1429887cc
151b99280
hex134b0b0

20230320 has 160 divisors (see below), whose sum is σ = 69995520. Its totient is φ = 4792320.

The previous prime is 20230303. The next prime is 20230361. The reversal of 20230320 is 2303202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20230296 and 20230305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208512 + ... + 208608.

It is an arithmetic number, because the mean of its divisors is an integer number (437472).

Almost surely, 220230320 is an apocalyptic number.

20230320 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 20230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34997760).

20230320 is an abundant number, since it is smaller than the sum of its proper divisors (49765200).

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

20230320 is a wasteful number, since it uses less digits than its factorization.

20230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 20230320 is about 4497.8128017960. The cubic root of 20230320 is about 272.4797617043.

Adding to 20230320 its reverse (2303202), we get a palindrome (22533522).

The spelling of 20230320 in words is "twenty million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 79 80 88 97 110 120 132 158 165 176 194 220 237 240 264 291 316 330 388 395 440 474 485 528 582 632 660 776 790 869 880 948 970 1067 1164 1185 1264 1320 1455 1552 1580 1738 1896 1940 2134 2328 2370 2607 2640 2910 3160 3201 3476 3792 3880 4268 4345 4656 4740 5214 5335 5820 6320 6402 6952 7663 7760 8536 8690 9480 10428 10670 11640 12804 13035 13904 15326 16005 17072 17380 18960 20856 21340 22989 23280 25608 26070 30652 32010 34760 38315 41712 42680 45978 51216 52140 61304 64020 69520 76630 84293 85360 91956 104280 114945 122608 128040 153260 168586 183912 208560 229890 252879 256080 306520 337172 367824 421465 459780 505758 613040 674344 842930 919560 1011516 1264395 1348688 1685860 1839120 2023032 2528790 3371720 4046064 5057580 6743440 10115160 20230320