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242760105 = 3357256889
BaseRepresentation
bin11100111100000…
…11100110101001
3121220210111021000
432132003212221
5444121310410
640031105213
76005266260
oct1636034651
9556714230
10242760105
11115039295
1269372209
133b3a9243
14243535d7
15164a3dc0
hexe7839a9

242760105 has 32 divisors (see below), whose sum is σ = 493228800. Its totient is φ = 110975616.

The previous prime is 242760103. The next prime is 242760109. The reversal of 242760105 is 501067242.

It is not a de Polignac number, because 242760105 - 21 = 242760103 is a prime.

It is a super-2 number, since 2×2427601052 = 117864937159222050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (242760103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127500 + ... + 129389.

It is an arithmetic number, because the mean of its divisors is an integer number (15413400).

Almost surely, 2242760105 is an apocalyptic number.

It is an amenable number.

242760105 is an abundant number, since it is smaller than the sum of its proper divisors (250468695).

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

242760105 is a wasteful number, since it uses less digits than its factorization.

242760105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256910 (or 256904 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 242760105 is about 15580.7607323904. The cubic root of 242760105 is about 623.8197288055.

The spelling of 242760105 in words is "two hundred forty-two million, seven hundred sixty thousand, one hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 256889 770667 1284445 1798223 2312001 3853335 5394669 6936003 8991115 11560005 16184007 26973345 34680015 48552021 80920035 242760105