Search a number
-
+
196369920 = 29345947
BaseRepresentation
bin10111011010001…
…01111000000000
3111200111121220000
423231011320000
5400232314140
631252520000
74603055025
oct1355057000
9450447800
10196369920
11a093369a
1255920000
13318b5c26
141c11954c
151238da30
hexbb45e00

196369920 has 200 divisors, whose sum is σ = 704077704. Its totient is φ = 52310016.

The previous prime is 196369889. The next prime is 196369993. The reversal of 196369920 is 29963691.

It is a happy number.

196369920 is a `hidden beast` number, since 1 + 9 + 636 + 9 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×1963699202 = 77122290961612800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 206887 + ... + 207833.

Almost surely, 2196369920 is an apocalyptic number.

196369920 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 196369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352038852).

196369920 is an abundant number, since it is smaller than the sum of its proper divisors (507707784).

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

196369920 is an frugal number, since it uses more digits than its factorization.

196369920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 196369920 is about 14013.2052008097. The cubic root of 196369920 is about 581.2437834923.

The spelling of 196369920 in words is "one hundred ninety-six million, three hundred sixty-nine thousand, nine hundred twenty".