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242060420 = 22578919427
BaseRepresentation
bin11100110110110…
…00110010000100
3121212110221110202
432123120302010
5443431413140
640004110032
75666323340
oct1633306204
9555427422
10242060420
11114700638
1269095318
133b1c2924
1424210620
15163b6915
hexe6d8c84

242060420 has 48 divisors (see below), whose sum is σ = 587502720. Its totient is φ = 82055424.

The previous prime is 242060341. The next prime is 242060443. The reversal of 242060420 is 24060242.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 242060392 and 242060401.

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 15 ways as a sum of consecutive naturals, for example, 2747 + ... + 22173.

It is an arithmetic number, because the mean of its divisors is an integer number (12239640).

Almost surely, 2242060420 is an apocalyptic number.

242060420 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 242060420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293751360).

242060420 is an abundant number, since it is smaller than the sum of its proper divisors (345442300).

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

242060420 is a wasteful number, since it uses less digits than its factorization.

242060420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19532 (or 19530 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 242060420 is about 15558.2910372573. The cubic root of 242060420 is about 623.2198261168.

The spelling of 242060420 in words is "two hundred forty-two million, sixty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 89 140 178 356 445 623 890 1246 1780 2492 3115 6230 12460 19427 38854 77708 97135 135989 194270 271978 388540 543956 679945 1359890 1729003 2719780 3458006 6916012 8645015 12103021 17290030 24206042 34580060 48412084 60515105 121030210 242060420