Search a number
-
+
272109968 = 24131308221
BaseRepresentation
bin10000001110000…
…001000110010000
3200222000121200222
4100032001012100
51024130004333
643000132212
76512616344
oct2016010620
9628017628
10272109968
1112a665279
1277167068
13444b4320
14281d3624
1518d50298
hex10381190

272109968 has 20 divisors (see below), whose sum is σ = 567768348. Its totient is φ = 125589120.

The previous prime is 272109961. The next prime is 272109983. The reversal of 272109968 is 869901272.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 44462224 + 227647744 = 6668^2 + 15088^2 .

It is a super-2 number, since 2×2721099682 = 148087669369922048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (272109961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 653903 + ... + 654318.

Almost surely, 2272109968 is an apocalyptic number.

It is an amenable number.

272109968 is an abundant number, since it is smaller than the sum of its proper divisors (295658380).

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

272109968 is a wasteful number, since it uses less digits than its factorization.

272109968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308242 (or 1308236 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 272109968 is about 16495.7560602720. The cubic root of 272109968 is about 648.0096655572.

The spelling of 272109968 in words is "two hundred seventy-two million, one hundred nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 1308221 2616442 5232884 10465768 17006873 20931536 34013746 68027492 136054984 272109968