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161475840 = 28325107131
BaseRepresentation
bin10011001111111…
…10110100000000
3102020211211012200
421213332310000
5312314211330
624004553200
74000344021
oct1147766400
9366754180
10161475840
1183170209
12460b2800
13275b9446
1417634c48
15e299a60
hex99fed00

161475840 has 216 divisors, whose sum is σ = 568215648. Its totient is φ = 42332160.

The previous prime is 161475833. The next prime is 161475841. The reversal of 161475840 is 48574161.

It is a happy number.

161475840 is digitally balanced in base 2 and base 3, because in such bases 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 161475795 and 161475804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161475841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1232575 + ... + 1232705.

It is an arithmetic number, because the mean of its divisors is an integer number (2630628).

Almost surely, 2161475840 is an apocalyptic number.

161475840 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 161475840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284107824).

161475840 is an abundant number, since it is smaller than the sum of its proper divisors (406739808).

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

161475840 is a wasteful number, since it uses less digits than its factorization.

161475840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 161475840 is about 12707.3144290995. The cubic root of 161475840 is about 544.5476031408.

The spelling of 161475840 in words is "one hundred sixty-one million, four hundred seventy-five thousand, eight hundred forty".