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190072506 = 2313231011049
BaseRepresentation
bin10110101010001…
…00011010111010
3111020122200110110
423111010122322
5342124310011
630505525150
74465406151
oct1325043272
9436580413
10190072506
1198322318
12537a37b6
13304bc750
141b35a598
1511a47ba6
hexb5446ba

190072506 has 64 divisors (see below), whose sum is σ = 431827200. Its totient is φ = 55334400.

The previous prime is 190072481. The next prime is 190072517. The reversal of 190072506 is 605270091.

190072506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1900725062 = 72255115074240072, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180670 + ... + 181718.

It is an arithmetic number, because the mean of its divisors is an integer number (6747300).

Almost surely, 2190072506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190072506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215913600).

190072506 is an abundant number, since it is smaller than the sum of its proper divisors (241754694).

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

190072506 is a wasteful number, since it uses less digits than its factorization.

190072506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191.

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 190072506 is about 13786.6785702721. The cubic root of 190072506 is about 574.9628265823.

The spelling of 190072506 in words is "one hundred ninety million, seventy-two thousand, five hundred six".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 101 138 202 299 303 598 606 897 1049 1313 1794 2098 2323 2626 3147 3939 4646 6294 6969 7878 13637 13938 24127 27274 30199 40911 48254 60398 72381 81822 90597 105949 144762 181194 211898 313651 317847 627302 635694 940953 1377337 1881906 2436827 2754674 4132011 4873654 7310481 8264022 14620962 31678751 63357502 95036253 190072506