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242414140 = 225411012927
BaseRepresentation
bin11100111001011…
…11001000111100
3121220010220200111
432130233020330
5444024223030
640015435404
76002325523
oct1634571074
9556126614
10242414140
11114922371
1269225b64
133b2b7927
14242a34ba
151643662a
hexe72f23c

242414140 has 48 divisors (see below), whose sum is σ = 526829184. Its totient is φ = 93632000.

The previous prime is 242414119. The next prime is 242414173. The reversal of 242414140 is 41414242.

242414140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81357 + ... + 84283.

It is an arithmetic number, because the mean of its divisors is an integer number (10975608).

Almost surely, 2242414140 is an apocalyptic number.

242414140 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 242414140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263414592).

242414140 is an abundant number, since it is smaller than the sum of its proper divisors (284415044).

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

242414140 is a wasteful number, since it uses less digits than its factorization.

242414140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 242414140 is about 15569.6544598780. The cubic root of 242414140 is about 623.5232462656.

Adding to 242414140 its reverse (41414242), we get a palindrome (283828382).

The spelling of 242414140 in words is "two hundred forty-two million, four hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 101 164 202 205 404 410 505 820 1010 2020 2927 4141 5854 8282 11708 14635 16564 20705 29270 41410 58540 82820 120007 240014 295627 480028 591254 600035 1182508 1200070 1478135 2400140 2956270 5912540 12120707 24241414 48482828 60603535 121207070 242414140