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270188442 = 232412691361
BaseRepresentation
bin10000000110101…
…011111110011010
3200211101222212100
4100012223332122
51023132012232
642451024230
76460364256
oct2006537632
9624358770
10270188442
11129572637
127659b076
1343c90824
1427c53266
1518ac0c7c
hex101abf9a

270188442 has 48 divisors (see below), whose sum is σ = 602358120. Its totient is φ = 87475200.

The previous prime is 270188423. The next prime is 270188449. The reversal of 270188442 is 244881072.

It can be written as a sum of positive squares in 4 ways, for example, as 51710481 + 218477961 = 7191^2 + 14781^2 .

It is a junction number, because it is equal to n+sod(n) for n = 270188397 and 270188406.

It is not an unprimeable number, because it can be changed into a prime (270188449) 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, 197842 + ... + 199202.

Almost surely, 2270188442 is an apocalyptic number.

270188442 is an abundant number, since it is smaller than the sum of its proper divisors (332169678).

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

270188442 is a wasteful number, since it uses less digits than its factorization.

270188442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 270188442 is about 16437.4098324523. The cubic root of 270188442 is about 646.4807372200.

The spelling of 270188442 in words is "two hundred seventy million, one hundred eighty-eight thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 41 82 123 246 269 369 538 738 807 1361 1614 2421 2722 4083 4842 8166 11029 12249 22058 24498 33087 55801 66174 99261 111602 167403 198522 334806 366109 502209 732218 1004418 1098327 2196654 3294981 6589962 15010469 30020938 45031407 90062814 135094221 270188442