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161385840 = 243257114171
BaseRepresentation
bin10011001111010…
…00110101110000
3102020200020202100
421213220311300
5312303321330
624003020400
73666520440
oct1147506560
9366606670
10161385840
1183109630
124606a700
13275874a5
1417610120
15e27d060
hex99e8d70

161385840 has 480 divisors, whose sum is σ = 701955072. Its totient is φ = 32256000.

The previous prime is 161385839. The next prime is 161385919. The reversal of 161385840 is 48583161.

161385840 is digitally balanced in base 2, 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 161385795 and 161385804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2273005 + ... + 2273075.

Almost surely, 2161385840 is an apocalyptic number.

161385840 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 161385840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350977536).

161385840 is an abundant number, since it is smaller than the sum of its proper divisors (540569232).

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

161385840 is a wasteful number, since it uses less digits than its factorization.

161385840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 161385840 is about 12703.7726679912. The cubic root of 161385840 is about 544.4464148509.

The spelling of 161385840 in words is "one hundred sixty-one million, three hundred eighty-five thousand, eight hundred forty".