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160948480 = 2857112371
BaseRepresentation
bin10011001011111…
…10000100000000
3102012212000210211
421211332010000
5312200322410
623545403504
73663016360
oct1145760400
9365760724
10160948480
118293aa80
1245a99594
13274633b4
14175389a0
15e1e368a
hex997e100

160948480 has 288 divisors, whose sum is σ = 508612608. Its totient is φ = 47308800.

The previous prime is 160948477. The next prime is 160948481. The reversal of 160948480 is 84849061.

160948480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160948481) 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 31 ways as a sum of consecutive naturals, for example, 2266845 + ... + 2266915.

It is an arithmetic number, because the mean of its divisors is an integer number (1766016).

Almost surely, 2160948480 is an apocalyptic number.

160948480 is a gapful number since it is divisible by the number (10) 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 160948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254306304).

160948480 is an abundant number, since it is smaller than the sum of its proper divisors (347664128).

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

160948480 is a wasteful number, since it uses less digits than its factorization.

160948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 160948480 is about 12686.5472056033. The cubic root of 160948480 is about 543.9541483846.

The spelling of 160948480 in words is "one hundred sixty million, nine hundred forty-eight thousand, four hundred eighty".