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242139510 = 23355316921
BaseRepresentation
bin11100110111011…
…00000101110110
3121212121221222000
432123230011312
5443441431020
640005520130
76000103044
oct1633540566
9555557860
10242139510
11114754aa8
1269113046
133b21c922
1424231394
15163d0090
hexe6ec176

242139510 has 64 divisors (see below), whose sum is σ = 657927360. Its totient is φ = 63348480.

The previous prime is 242139509. The next prime is 242139511. The reversal of 242139510 is 15931242.

It is an interprime number because it is at equal distance from previous prime (242139509) and next prime (242139511).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242139511) 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, 5850 + ... + 22770.

It is an arithmetic number, because the mean of its divisors is an integer number (10280115).

Almost surely, 2242139510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242139510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328963680).

242139510 is an abundant number, since it is smaller than the sum of its proper divisors (415787850).

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

242139510 is a wasteful number, since it uses less digits than its factorization.

242139510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16990 (or 16984 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 242139510 is about 15560.8325612738. The cubic root of 242139510 is about 623.2876949692.

The spelling of 242139510 in words is "two hundred forty-two million, one hundred thirty-nine thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 90 106 135 159 265 270 318 477 530 795 954 1431 1590 2385 2862 4770 7155 14310 16921 33842 50763 84605 101526 152289 169210 253815 304578 456867 507630 761445 896813 913734 1522890 1793626 2284335 2690439 4484065 4568670 5380878 8071317 8968130 13452195 16142634 24213951 26904390 40356585 48427902 80713170 121069755 242139510