Search a number
-
+
243420120 = 23335257877
BaseRepresentation
bin11101000001001…
…00101111011000
3121222001000122000
432200210233120
5444303420440
640053201000
76014015436
oct1640445730
9558030560
10243420120
1111544a159
1269630160
133b57a798
1424485d56
1516584730
hexe824bd8

243420120 has 128 divisors (see below), whose sum is σ = 815486400. Its totient is φ = 64585728.

The previous prime is 243420101. The next prime is 243420137. The reversal of 243420120 is 21024342.

243420120 is a `hidden beast` number, since 243 + 420 + 1 + 2 + 0 = 666.

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 = 243420093 and 243420102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277122 + ... + 277998.

Almost surely, 2243420120 is an apocalyptic number.

243420120 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 243420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407743200).

243420120 is an abundant number, since it is smaller than the sum of its proper divisors (572066280).

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

243420120 is a wasteful number, since it uses less digits than its factorization.

243420120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1144 counting only the distinct ones).

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

The square root of 243420120 is about 15601.9268040842. The cubic root of 243420120 is about 624.3845632457.

Adding to 243420120 its reverse (21024342), we get a palindrome (264444462).

The spelling of 243420120 in words is "two hundred forty-three million, four hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 257 270 360 514 540 771 877 1028 1080 1285 1542 1754 2056 2313 2570 2631 3084 3508 3855 4385 4626 5140 5262 6168 6939 7016 7710 7893 8770 9252 10280 10524 11565 13155 13878 15420 15786 17540 18504 21048 23130 23679 26310 27756 30840 31572 34695 35080 39465 46260 47358 52620 55512 63144 69390 78930 92520 94716 105240 118395 138780 157860 189432 225389 236790 277560 315720 450778 473580 676167 901556 947160 1126945 1352334 1803112 2028501 2253890 2704668 3380835 4057002 4507780 5409336 6085503 6761670 8114004 9015560 10142505 12171006 13523340 16228008 20285010 24342012 27046680 30427515 40570020 48684024 60855030 81140040 121710060 243420120