Search a number
-
+
190632096 = 25332353181
BaseRepresentation
bin10110101110011…
…01000010100000
3111021201010002000
423113031002200
5342300211341
630525524000
74503226464
oct1327150240
9437633060
10190632096
1198674796
1253a13600
1330657375
141b4644a4
1511b088b6
hexb5cd0a0

190632096 has 192 divisors, whose sum is σ = 594397440. Its totient is φ = 59304960.

The previous prime is 190632077. The next prime is 190632107. The reversal of 190632096 is 690236091.

190632096 is a `hidden beast` number, since 19 + 0 + 632 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 190632096.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1053126 + ... + 1053306.

It is an arithmetic number, because the mean of its divisors is an integer number (3095820).

Almost surely, 2190632096 is an apocalyptic number.

190632096 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 190632096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297198720).

190632096 is an abundant number, since it is smaller than the sum of its proper divisors (403765344).

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

190632096 is a wasteful number, since it uses less digits than its factorization.

190632096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 190632096 is about 13806.9582457542. The cubic root of 190632096 is about 575.5265206228.

The spelling of 190632096 in words is "one hundred ninety million, six hundred thirty-two thousand, ninety-six".