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242207560 = 23571974391
BaseRepresentation
bin11100110111111…
…00101101001000
3121212202102022101
432123330231020
5444001120220
640011203144
76000505330
oct1633745510
9555672271
10242207560
111147a1141
12691464b4
133b2448aa
142424c0c0
15163e530a
hexe6fcb48

242207560 has 64 divisors (see below), whose sum is σ = 626123520. Its totient is φ = 82602240.

The previous prime is 242207527. The next prime is 242207569. The reversal of 242207560 is 65702242.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (242207569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52965 + ... + 57355.

It is an arithmetic number, because the mean of its divisors is an integer number (9783180).

Almost surely, 2242207560 is an apocalyptic number.

242207560 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 242207560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313061760).

242207560 is an abundant number, since it is smaller than the sum of its proper divisors (383915960).

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

242207560 is a wasteful number, since it uses less digits than its factorization.

242207560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4606 (or 4602 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 242207560 is about 15563.0189873302. The cubic root of 242207560 is about 623.3460783297.

The spelling of 242207560 in words is "two hundred forty-two million, two hundred seven thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 197 280 394 788 985 1379 1576 1970 2758 3940 4391 5516 6895 7880 8782 11032 13790 17564 21955 27580 30737 35128 43910 55160 61474 87820 122948 153685 175640 245896 307370 614740 865027 1229480 1730054 3460108 4325135 6055189 6920216 8650270 12110378 17300540 24220756 30275945 34601080 48441512 60551890 121103780 242207560