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160401696 = 25372134361
BaseRepresentation
bin10011000111110…
…00100100100000
3102011211020202120
421203320210200
5312030323241
623525544240
73655251300
oct1143704440
9364736676
10160401696
11825a7194
1245875080
1327301560
1417435600
15e136666
hex98f8920

160401696 has 288 divisors, whose sum is σ = 548589888. Its totient is φ = 40642560.

The previous prime is 160401673. The next prime is 160401727. The reversal of 160401696 is 696104061.

160401696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2629506 + ... + 2629566.

It is an arithmetic number, because the mean of its divisors is an integer number (1904826).

Almost surely, 2160401696 is an apocalyptic number.

160401696 is a gapful number since it is divisible by the number (16) 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 160401696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274294944).

160401696 is an abundant number, since it is smaller than the sum of its proper divisors (388188192).

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

160401696 is a wasteful number, since it uses less digits than its factorization.

160401696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 160401696 is about 12664.9791156559. The cubic root of 160401696 is about 543.3374647667.

It can be divided in two parts, 160 and 401696, that added together give a triangular number (401856 = T896).

The spelling of 160401696 in words is "one hundred sixty million, four hundred one thousand, six hundred ninety-six".