Search a number
-
+
161541000 = 23335331193
BaseRepresentation
bin10011010000011…
…10101110001000
3102020222010121000
421220032232020
5312323303000
624010215000
74001035005
oct1150165610
9366863530
10161541000
1183205165
1246124460
132760ccba
14176508ac
15e2ae000
hex9a0eb88

161541000 has 256 divisors, whose sum is σ = 581068800. Its totient is φ = 41472000.

The previous prime is 161540957. The next prime is 161541011. The reversal of 161541000 is 145161.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 836904 + ... + 837096.

It is an arithmetic number, because the mean of its divisors is an integer number (2269800).

Almost surely, 2161541000 is an apocalyptic number.

161541000 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 161541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290534400).

161541000 is an abundant number, since it is smaller than the sum of its proper divisors (419527800).

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

161541000 is a wasteful number, since it uses less digits than its factorization.

161541000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 161541000 is about 12709.8780481954. The cubic root of 161541000 is about 544.6208400002.

Adding to 161541000 its reverse (145161), we get a palindrome (161686161).

The spelling of 161541000 in words is "one hundred sixty-one million, five hundred forty-one thousand".