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243020120 = 23574121169
BaseRepresentation
bin11100111110000…
…11000101011000
3121221021200221012
432133003011120
5444203120440
640040433052
76010431320
oct1637030530
9557250835
10243020120
111151a6682
1269478788
133b46a6b5
14243c0280
1516505e65
hexe7c3158

243020120 has 64 divisors (see below), whose sum is σ = 640180800. Its totient is φ = 81285120.

The previous prime is 243020119. The next prime is 243020137. The reversal of 243020120 is 21020342.

243020120 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 (14).

It is a junction number, because it is equal to n+sod(n) for n = 243020095 and 243020104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 896 + ... + 22064.

It is an arithmetic number, because the mean of its divisors is an integer number (10002825).

Almost surely, 2243020120 is an apocalyptic number.

243020120 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 243020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320090400).

243020120 is an abundant number, since it is smaller than the sum of its proper divisors (397160680).

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

243020120 is a wasteful number, since it uses less digits than its factorization.

243020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21228 (or 21224 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 243020120 is about 15589.1026040629. The cubic root of 243020120 is about 624.0423691919.

Adding to 243020120 its reverse (21020342), we get a palindrome (264040462).

The spelling of 243020120 in words is "two hundred forty-three million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 280 287 328 410 574 820 1148 1435 1640 2296 2870 5740 11480 21169 42338 84676 105845 148183 169352 211690 296366 423380 592732 740915 846760 867929 1185464 1481830 1735858 2963660 3471716 4339645 5927320 6075503 6943432 8679290 12151006 17358580 24302012 30377515 34717160 48604024 60755030 121510060 243020120