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243142020 = 223351140933
BaseRepresentation
bin11100111111000…
…00110110000100
3121221111220011000
432133200312010
5444221021040
640043213300
76011446602
oct1637406604
9557456130
10243142020
1111527a220
1269517230
133b4b1024
1424412872
151652c130
hexe7e0d84

243142020 has 96 divisors (see below), whose sum is σ = 825229440. Its totient is φ = 58942080.

The previous prime is 243142019. The next prime is 243142027. The reversal of 243142020 is 20241342.

243142020 is a `hidden beast` number, since 243 + 1 + 420 + 2 + 0 = 666.

243142020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 243141984 and 243142002.

It is not an unprimeable number, because it can be changed into a prime (243142027) 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, 14527 + ... + 26406.

It is an arithmetic number, because the mean of its divisors is an integer number (8596140).

Almost surely, 2243142020 is an apocalyptic number.

243142020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243142020 is an abundant number, since it is smaller than the sum of its proper divisors (582087420).

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

243142020 is a wasteful number, since it uses less digits than its factorization.

243142020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40962 (or 40954 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 243142020 is about 15593.0118963592. The cubic root of 243142020 is about 624.1466925832.

Adding to 243142020 its reverse (20241342), we get a palindrome (263383362).

The spelling of 243142020 in words is "two hundred forty-three million, one hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 40933 81866 122799 163732 204665 245598 368397 409330 450263 491196 613995 736794 818660 900526 1105191 1227990 1350789 1473588 1801052 1841985 2210382 2251315 2455980 2701578 3683970 4052367 4420764 4502630 5403156 5525955 6753945 7367940 8104734 9005260 11051910 12157101 13507890 16209468 20261835 22103820 24314202 27015780 40523670 48628404 60785505 81047340 121571010 243142020