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242635620 = 223547139619
BaseRepresentation
bin11100111011001…
…01001101100100
3121220120011111110
432131211031210
5444103314440
640024305020
76004240323
oct1635451544
9556504443
10242635620
11114a63807
1269312170
133b364696
14243200ba
151647c080
hexe765364

242635620 has 96 divisors (see below), whose sum is σ = 699955200. Its totient is φ = 62769024.

The previous prime is 242635607. The next prime is 242635637. The reversal of 242635620 is 26536242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391671 + ... + 392289.

It is an arithmetic number, because the mean of its divisors is an integer number (7291200).

Almost surely, 2242635620 is an apocalyptic number.

242635620 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 242635620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349977600).

242635620 is an abundant number, since it is smaller than the sum of its proper divisors (457319580).

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

242635620 is a wasteful number, since it uses less digits than its factorization.

242635620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 242635620 is about 15576.7653895152. The cubic root of 242635620 is about 623.7130810287.

The spelling of 242635620 in words is "two hundred forty-two million, six hundred thirty-five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 139 141 188 235 278 282 417 470 556 564 619 695 705 834 940 1238 1390 1410 1668 1857 2085 2476 2780 2820 3095 3714 4170 6190 6533 7428 8340 9285 12380 13066 18570 19599 26132 29093 32665 37140 39198 58186 65330 78396 86041 87279 97995 116372 130660 145465 172082 174558 195990 258123 290930 344164 349116 391980 430205 436395 516246 581860 860410 872790 1032492 1290615 1720820 1745580 2581230 4043927 5162460 8087854 12131781 16175708 20219635 24263562 40439270 48527124 60658905 80878540 121317810 242635620