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242460660 = 223513437229
BaseRepresentation
bin11100111001110…
…10011111110100
3121220020021111110
432130322133310
5444032220120
640020435020
76002611251
oct1634723764
9556207443
10242460660
11114954312
1269248a70
133b302b60
14242b6428
15164452e0
hexe73a7f4

242460660 has 96 divisors (see below), whose sum is σ = 748218240. Its totient is φ = 58286592.

The previous prime is 242460643. The next prime is 242460671. The reversal of 242460660 is 66064242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29926 + ... + 37154.

It is an arithmetic number, because the mean of its divisors is an integer number (7793940).

Almost surely, 2242460660 is an apocalyptic number.

242460660 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 242460660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374109120).

242460660 is an abundant number, since it is smaller than the sum of its proper divisors (505757580).

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

242460660 is a wasteful number, since it uses less digits than its factorization.

242460660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7297 (or 7295 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 242460660 is about 15571.1483198896. The cubic root of 242460660 is about 623.5631290411.

The spelling of 242460660 in words is "two hundred forty-two million, four hundred sixty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 43 52 60 65 78 86 129 130 156 172 195 215 258 260 390 430 516 559 645 780 860 1118 1290 1677 2236 2580 2795 3354 5590 6708 7229 8385 11180 14458 16770 21687 28916 33540 36145 43374 72290 86748 93977 108435 144580 187954 216870 281931 310847 375908 433740 469885 563862 621694 932541 939770 1127724 1243388 1409655 1554235 1865082 1879540 2819310 3108470 3730164 4041011 4662705 5638620 6216940 8082022 9325410 12123033 16164044 18650820 20205055 24246066 40410110 48492132 60615165 80820220 121230330 242460660