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242454060 = 22345197877
BaseRepresentation
bin11100111001110…
…00111000101100
3121220012221110000
432130320320230
5444032012220
640020344300
76002553102
oct1634707054
9556187400
10242454060
1111494a362
1269245090
133b2ccb54
14242b3c72
1516443390
hexe738e2c

242454060 has 120 divisors (see below), whose sum is σ = 800719920. Its totient is φ = 61243776.

The previous prime is 242454031. The next prime is 242454083. The reversal of 242454060 is 60454242.

242454060 is digitally balanced in base 3, 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26842 + ... + 34718.

It is an arithmetic number, because the mean of its divisors is an integer number (6672666).

Almost surely, 2242454060 is an apocalyptic number.

242454060 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 242454060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400359960).

242454060 is an abundant number, since it is smaller than the sum of its proper divisors (558265860).

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

242454060 is a wasteful number, since it uses less digits than its factorization.

242454060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7917 (or 7906 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 242454060 is about 15570.9363880275. The cubic root of 242454060 is about 623.5574710043.

The spelling of 242454060 in words is "two hundred forty-two million, four hundred fifty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 270 285 324 342 380 405 513 540 570 684 810 855 1026 1140 1539 1620 1710 2052 2565 3078 3420 5130 6156 7695 7877 10260 15390 15754 23631 30780 31508 39385 47262 70893 78770 94524 118155 141786 149663 157540 212679 236310 283572 299326 354465 425358 448989 472620 598652 638037 708930 748315 850716 897978 1063395 1276074 1346967 1417860 1496630 1795956 2126790 2244945 2552148 2693934 2993260 3190185 4040901 4253580 4489890 5387868 6380370 6734835 8081802 8979780 12122703 12760740 13469670 16163604 20204505 24245406 26939340 40409010 48490812 60613515 80818020 121227030 242454060