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190740096 = 273418397
BaseRepresentation
bin10110101111001…
…11011010000000
3111021220121020000
423113213122000
5342312140341
630532120000
74504156401
oct1327473200
9437817200
10190740096
1198738948
1253a66000
1330694581
141b4919a8
1511b2a8b6
hexb5e7680

190740096 has 80 divisors (see below), whose sum is σ = 567670290. Its totient is φ = 63576576.

The previous prime is 190740041. The next prime is 190740101. The reversal of 190740096 is 690047091.

190740096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 124545600 + 66194496 = 11160^2 + 8136^2 .

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 190740096.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1170 + ... + 19566.

Almost surely, 2190740096 is an apocalyptic number.

190740096 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 190740096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283835145).

190740096 is an abundant number, since it is smaller than the sum of its proper divisors (376930194).

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

190740096 is an equidigital number, since it uses as much as digits as its factorization.

190740096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18423 (or 18402 counting only the distinct ones).

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

The square root of 190740096 is about 13810.8687634051. The cubic root of 190740096 is about 575.6351856573.

The spelling of 190740096 in words is "one hundred ninety million, seven hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 18397 36794 55191 73588 110382 147176 165573 220764 294352 331146 441528 496719 588704 662292 883056 993438 1177408 1324584 1490157 1766112 1986876 2354816 2649168 2980314 3532224 3973752 5298336 5960628 7064448 7947504 10596672 11921256 15895008 21193344 23842512 31790016 47685024 63580032 95370048 190740096