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242000415 = 32531473691
BaseRepresentation
bin11100110110010…
…10001000011111
3121212100220011100
432123022020133
5443423003130
640002524143
75665653366
oct1633121037
9555326140
10242000415
1111466a548
1269066653
133b1a1517
14241d67dd
15163a3c60
hexe6ca21f

242000415 has 48 divisors (see below), whose sum is σ = 442331136. Its totient is φ = 122212800.

The previous prime is 242000413. The next prime is 242000417. The reversal of 242000415 is 514000242.

It is an interprime number because it is at equal distance from previous prime (242000413) and next prime (242000417).

It is not a de Polignac number, because 242000415 - 21 = 242000413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242000413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63720 + ... + 67410.

It is an arithmetic number, because the mean of its divisors is an integer number (9215232).

Almost surely, 2242000415 is an apocalyptic number.

242000415 is a deficient number, since it is larger than the sum of its proper divisors (200330721).

242000415 is a wasteful number, since it uses less digits than its factorization.

242000415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3780 (or 3777 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 242000415 is about 15556.3625247035. The cubic root of 242000415 is about 623.1683246554.

Adding to 242000415 its reverse (514000242), we get a palindrome (756000657).

The spelling of 242000415 in words is "two hundred forty-two million, four hundred fifteen", and thus it is an aban number.

Divisors: 1 3 5 9 15 31 45 47 93 141 155 235 279 423 465 705 1395 1457 2115 3691 4371 7285 11073 13113 18455 21855 33219 55365 65565 114421 166095 173477 343263 520431 572105 867385 1029789 1561293 1716315 2602155 5148945 5377787 7806465 16133361 26888935 48400083 80666805 242000415