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190270080 = 27335711213
BaseRepresentation
bin10110101011101…
…00101010000000
3111021000201111000
423111310222000
5342202120310
630514052000
74500161160
oct1325645200
9437021430
10190270080
1198447800
125387a000
133055b660
141b3ac5a0
1511a864c0
hexb574a80

190270080 has 768 divisors, whose sum is σ = 911635200. Its totient is φ = 36495360.

The previous prime is 190270061. The next prime is 190270081. The reversal of 190270080 is 80072091.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190270081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14636154 + ... + 14636166.

It is an arithmetic number, because the mean of its divisors is an integer number (1187025).

Almost surely, 2190270080 is an apocalyptic number.

190270080 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 190270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455817600).

190270080 is an abundant number, since it is smaller than the sum of its proper divisors (721365120).

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

190270080 is a wasteful number, since it uses less digits than its factorization.

190270080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 190270080 is about 13793.8421043595. The cubic root of 190270080 is about 575.1619757917.

The spelling of 190270080 in words is "one hundred ninety million, two hundred seventy thousand, eighty".