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242661300 = 223527115553
BaseRepresentation
bin11100111011010…
…11011110110100
3121220121110201120
432131223132310
5444110130200
640025023540
76004405230
oct1635533664
9556543646
10242661300
11114a81032
1269324bb0
133b37328b
14243295c0
15164849a0
hexe76b7b4

242661300 has 72 divisors (see below), whose sum is σ = 802406976. Its totient is φ = 55464960.

The previous prime is 242661283. The next prime is 242661301. The reversal of 242661300 is 3166242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242661301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55677 + ... + 59876.

Almost surely, 2242661300 is an apocalyptic number.

242661300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242661300 is an abundant number, since it is smaller than the sum of its proper divisors (559745676).

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

242661300 is a wasteful number, since it uses less digits than its factorization.

242661300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115577 (or 115570 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 242661300 is about 15577.5896723466. The cubic root of 242661300 is about 623.7350843753.

The spelling of 242661300 in words is "two hundred forty-two million, six hundred sixty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 115553 231106 346659 462212 577765 693318 808871 1155530 1386636 1617742 1733295 2311060 2426613 2888825 3235484 3466590 4044355 4853226 5777650 6933180 8088710 8666475 9706452 11555300 12133065 16177420 17332950 20221775 24266130 34665900 40443550 48532260 60665325 80887100 121330650 242661300