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160241472 = 26322953181
BaseRepresentation
bin10011000110100…
…01011101000000
3102011112002222100
421203101131000
5312010211342
623522310400
73654013206
oct1143213500
9364462870
10160241472
11824a7876
12457b8400
1327276651
14173d3076
15e103e4c
hex98d1740

160241472 has 168 divisors, whose sum is σ = 486780840. Its totient is φ = 50319360.

The previous prime is 160241461. The next prime is 160241479. The reversal of 160241472 is 274142061.

160241472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5089536 + 155151936 = 2256^2 + 12456^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160241479) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 885222 + ... + 885402.

It is an arithmetic number, because the mean of its divisors is an integer number (2897505).

Almost surely, 2160241472 is an apocalyptic number.

160241472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 160241472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243390420).

160241472 is an abundant number, since it is smaller than the sum of its proper divisors (326539368).

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

160241472 is a wasteful number, since it uses less digits than its factorization.

160241472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 160241472 is about 12658.6520609423. The cubic root of 160241472 is about 543.1564926477.

The spelling of 160241472 in words is "one hundred sixty million, two hundred forty-one thousand, four hundred seventy-two".