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242042700 = 223522943647
BaseRepresentation
bin11100110110101…
…00011101001100
3121212110001011110
432123110131030
5443430331300
640003452020
75666220564
oct1633243514
9555401143
10242042700
11114699299
1269087010
133b1b7843
1424207da4
15163b1550
hexe6d474c

242042700 has 144 divisors (see below), whose sum is σ = 742452480. Its totient is φ = 60775680.

The previous prime is 242042683. The next prime is 242042711. The reversal of 242042700 is 7240242.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373777 + ... + 374423.

It is an arithmetic number, because the mean of its divisors is an integer number (5155920).

Almost surely, 2242042700 is an apocalyptic number.

242042700 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 242042700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371226240).

242042700 is an abundant number, since it is smaller than the sum of its proper divisors (500409780).

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

242042700 is a wasteful number, since it uses less digits than its factorization.

242042700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 242042700 is about 15557.7215555492. The cubic root of 242042700 is about 623.2046181716.

Adding to 242042700 its reverse (7240242), we get a palindrome (249282942).

The spelling of 242042700 in words is "two hundred forty-two million, forty-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 43 50 58 60 75 86 87 100 116 129 145 150 172 174 215 258 290 300 348 430 435 516 580 645 647 725 860 870 1075 1247 1290 1294 1450 1740 1941 2150 2175 2494 2580 2588 2900 3225 3235 3741 3882 4300 4350 4988 6235 6450 6470 7482 7764 8700 9705 12470 12900 12940 14964 16175 18705 18763 19410 24940 27821 31175 32350 37410 37526 38820 48525 55642 56289 62350 64700 74820 75052 83463 93525 93815 97050 111284 112578 124700 139105 166926 187050 187630 194100 225156 278210 281445 333852 374100 375260 417315 469075 556420 562890 695525 806809 834630 938150 1125780 1391050 1407225 1613618 1669260 1876300 2086575 2420427 2782100 2814450 3227236 4034045 4173150 4840854 5628900 8068090 8346300 9681708 12102135 16136180 20170225 24204270 40340450 48408540 60510675 80680900 121021350 242042700