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242505030 = 235371971109
BaseRepresentation
bin11100111010001…
…01010101000110
3121220022112100210
432131011111012
5444040130110
640021420250
76003154515
oct1635052506
9556275323
10242505030
11114984689
126926a686
133b31a101
14242c867c
1516453520
hexe745546

242505030 has 64 divisors (see below), whose sum is σ = 601318080. Its totient is φ = 62544384.

The previous prime is 242505023. The next prime is 242505061. The reversal of 242505030 is 30505242.

242505030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242504988 and 242505006.

It is a congruent number.

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, 218116 + ... + 219224.

It is an arithmetic number, because the mean of its divisors is an integer number (9395595).

Almost surely, 2242505030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242505030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300659040).

242505030 is an abundant number, since it is smaller than the sum of its proper divisors (358813050).

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

242505030 is a wasteful number, since it uses less digits than its factorization.

242505030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353.

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 242505030 is about 15572.5730051267. The cubic root of 242505030 is about 623.6011638141.

The spelling of 242505030 in words is "two hundred forty-two million, five hundred five thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 197 222 370 394 555 591 985 1109 1110 1182 1970 2218 2955 3327 5545 5910 6654 7289 11090 14578 16635 21867 33270 36445 41033 43734 72890 82066 109335 123099 205165 218473 218670 246198 410330 436946 615495 655419 1092365 1230990 1310838 2184730 3277095 6554190 8083501 16167002 24250503 40417505 48501006 80835010 121252515 242505030