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190749312 = 27321347271
BaseRepresentation
bin10110101111010…
…01101010000000
3111021221001212100
423113221222000
5342312434222
630532230400
74504225305
oct1327515200
9437831770
10190749312
1198744866
1253a6b400
1330698820
141b4950ac
1511b2d4ac
hexb5e9a80

190749312 has 192 divisors, whose sum is σ = 605928960. Its totient is φ = 57231360.

The previous prime is 190749289. The next prime is 190749329. The reversal of 190749312 is 213947091.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 703737 + ... + 704007.

It is an arithmetic number, because the mean of its divisors is an integer number (3155880).

Almost surely, 2190749312 is an apocalyptic number.

190749312 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 190749312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302964480).

190749312 is an abundant number, since it is smaller than the sum of its proper divisors (415179648).

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

190749312 is a wasteful number, since it uses less digits than its factorization.

190749312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 190749312 is about 13811.2024096383. The cubic root of 190749312 is about 575.6444565072.

The spelling of 190749312 in words is "one hundred ninety million, seven hundred forty-nine thousand, three hundred twelve".