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242660128 = 2583211433
BaseRepresentation
bin11100111011010…
…11001100100000
3121220121102010011
432131223030200
5444110111003
640025014304
76004401634
oct1635531440
9556542104
10242660128
11114a80167
1269324394
133b372899
1424328dc4
151648446d
hexe76b320

242660128 has 48 divisors (see below), whose sum is σ = 486906336. Its totient is φ = 119024640.

The previous prime is 242660123. The next prime is 242660149. The reversal of 242660128 is 821066242.

242660128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 242660128.

It is not an unprimeable number, because it can be changed into a prime (242660123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 560200 + ... + 560632.

It is an arithmetic number, because the mean of its divisors is an integer number (10143882).

Almost surely, 2242660128 is an apocalyptic number.

It is an amenable number.

242660128 is an abundant number, since it is smaller than the sum of its proper divisors (244246208).

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

242660128 is a wasteful number, since it uses less digits than its factorization.

242660128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 242660128 is about 15577.5520541579. The cubic root of 242660128 is about 623.7340802065.

The spelling of 242660128 in words is "two hundred forty-two million, six hundred sixty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 83 166 211 332 422 433 664 844 866 1328 1688 1732 2656 3376 3464 6752 6928 13856 17513 35026 35939 70052 71878 91363 140104 143756 182726 280208 287512 365452 560416 575024 730904 1150048 1461808 2923616 7583129 15166258 30332516 60665032 121330064 242660128