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190136268 = 223372193161
BaseRepresentation
bin10110101010100…
…11111111001100
3111020202220221000
423111103333030
5342133330033
630511140300
74466063100
oct1325237714
9436686830
10190136268
1198366213
1253814690
133051278a
141b375900
1511a5ba13
hexb553fcc

190136268 has 288 divisors, whose sum is σ = 633292800. Its totient is φ = 48988800.

The previous prime is 190136213. The next prime is 190136269. The reversal of 190136268 is 862631091.

190136268 is a `hidden beast` number, since 19 + 0 + 13 + 626 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (190136269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3116958 + ... + 3117018.

Almost surely, 2190136268 is an apocalyptic number.

190136268 is a gapful number since it is divisible by the number (18) 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 190136268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316646400).

190136268 is an abundant number, since it is smaller than the sum of its proper divisors (443156532).

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

190136268 is a wasteful number, since it uses less digits than its factorization.

190136268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 190136268 is about 13788.9908260177. The cubic root of 190136268 is about 575.0271120171.

It can be divided in two parts, 19013 and 6268, that added together give a square (25281 = 1592).

The spelling of 190136268 in words is "one hundred ninety million, one hundred thirty-six thousand, two hundred sixty-eight".