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270929968 = 24194121737
BaseRepresentation
bin10000001001100…
…001000000110000
3200212210200001021
4100021201000300
51023324224333
642514545224
76466603201
oct2011410060
9625720037
10270929968
11129a29771
1276898214
13441901ba
1427da75a8
1518bba82d
hex10261030

270929968 has 40 divisors (see below), whose sum is σ = 566057520. Its totient is φ = 125199360.

The previous prime is 270929957. The next prime is 270929993. The reversal of 270929968 is 869929072.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1596 + ... + 23332.

It is an arithmetic number, because the mean of its divisors is an integer number (14151438).

Almost surely, 2270929968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270929968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283028760).

270929968 is an abundant number, since it is smaller than the sum of its proper divisors (295127552).

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

270929968 is a wasteful number, since it uses less digits than its factorization.

270929968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21805 (or 21799 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 52.

The square root of 270929968 is about 16459.9504251987. The cubic root of 270929968 is about 647.0716141993.

The spelling of 270929968 in words is "two hundred seventy million, nine hundred twenty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 19 38 41 76 82 152 164 304 328 656 779 1558 3116 6232 12464 21737 43474 86948 173896 347792 413003 826006 891217 1652012 1782434 3304024 3564868 6608048 7129736 14259472 16933123 33866246 67732492 135464984 270929968