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20143620 = 223357732
BaseRepresentation
bin100110011010…
…1111000000100
31101220101212000
41030311320010
520124043440
61555425300
7333134520
oct114657004
941811760
1020143620
1110409222
1268b5230
134233903
142964d80
151b7d730
hex1335e04

20143620 has 144 divisors (see below), whose sum is σ = 72616320. Its totient is φ = 4541184.

The previous prime is 20143619. The next prime is 20143621. The reversal of 20143620 is 2634102.

It is a happy number.

20143620 is a `hidden beast` number, since 2 + 0 + 1 + 43 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (20143619) and next prime (20143621).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20143593 and 20143602.

It is not an unprimeable number, because it can be changed into a prime (20143621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275904 + ... + 275976.

It is an arithmetic number, because the mean of its divisors is an integer number (504280).

Almost surely, 220143620 is an apocalyptic number.

20143620 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 20143620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36308160).

20143620 is an abundant number, since it is smaller than the sum of its proper divisors (52472700).

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

20143620 is a wasteful number, since it uses less digits than its factorization.

20143620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20143620 is about 4488.1644354903. The cubic root of 20143620 is about 272.0899536678.

Adding to 20143620 its reverse (2634102), we get a palindrome (22777722).

The spelling of 20143620 in words is "twenty million, one hundred forty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 73 84 90 105 108 126 135 140 146 180 189 210 219 252 270 292 315 365 378 420 438 511 540 630 657 730 756 876 945 1022 1095 1260 1314 1460 1533 1890 1971 2044 2190 2555 2628 3066 3285 3780 3942 4380 4599 5110 5329 6132 6570 7665 7884 9198 9855 10220 10658 13140 13797 15330 15987 18396 19710 21316 22995 26645 27594 30660 31974 37303 39420 45990 47961 53290 55188 63948 68985 74606 79935 91980 95922 106580 111909 137970 143883 149212 159870 186515 191844 223818 239805 275940 287766 319740 335727 373030 447636 479610 559545 575532 671454 719415 746060 959220 1007181 1119090 1342908 1438830 1678635 2014362 2238180 2877660 3357270 4028724 5035905 6714540 10071810 20143620