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160249104 = 2434532333
BaseRepresentation
bin10011000110100…
…11010100010000
3102011112111110000
421203103110100
5312010432404
623522410000
73654044361
oct1143232420
9364474400
10160249104
1182502584
1245800900
1327279c72
14173d5b68
15e106339
hex98d3510

160249104 has 100 divisors (see below), whose sum is σ = 472761036. Its totient is φ = 52386048.

The previous prime is 160249093. The next prime is 160249121. The reversal of 160249104 is 401942061.

160249104 is a `hidden beast` number, since 1 + 602 + 49 + 10 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 85599504 + 74649600 = 9252^2 + 8640^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67522 + ... + 69854.

Almost surely, 2160249104 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 160249104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236380518).

160249104 is an abundant number, since it is smaller than the sum of its proper divisors (312511932).

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

160249104 is a wasteful number, since it uses less digits than its factorization.

160249104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 160249104 is about 12658.9535112504. The cubic root of 160249104 is about 543.1651156849.

The spelling of 160249104 in words is "one hundred sixty million, two hundred forty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 212 216 318 324 424 432 477 636 648 848 954 1272 1296 1431 1908 2333 2544 2862 3816 4293 4666 5724 6999 7632 8586 9332 11448 13998 17172 18664 20997 22896 27996 34344 37328 41994 55992 62991 68688 83988 111984 123649 125982 167976 188973 247298 251964 335952 370947 377946 494596 503928 741894 755892 989192 1007856 1112841 1483788 1511784 1978384 2225682 2967576 3023568 3338523 4451364 5935152 6677046 8902728 10015569 13354092 17805456 20031138 26708184 40062276 53416368 80124552 160249104