Search a number
-
+
190899072 = 2733713607
BaseRepresentation
bin10110110000011…
…10001110000000
3111022012200022000
423120032032000
5342332232242
630535344000
74505421030
oct1330161600
9438180260
10190899072
1198837331
1253b22000
133071ba40
141b4d38c0
1511b5ca4c
hexb60e380

190899072 has 256 divisors, whose sum is σ = 694579200. Its totient is φ = 50264064.

The previous prime is 190899019. The next prime is 190899077. The reversal of 190899072 is 270998091.

It is a super-2 number, since 2×1908990722 = 72884911380922368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190899077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314193 + ... + 314799.

It is an arithmetic number, because the mean of its divisors is an integer number (2713200).

Almost surely, 2190899072 is an apocalyptic number.

190899072 is a gapful number since it is divisible by the number (12) 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 190899072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347289600).

190899072 is an abundant number, since it is smaller than the sum of its proper divisors (503680128).

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

190899072 is a wasteful number, since it uses less digits than its factorization.

190899072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 190899072 is about 13816.6230316963. The cubic root of 190899072 is about 575.7950659844.

The spelling of 190899072 in words is "one hundred ninety million, eight hundred ninety-nine thousand, seventy-two".