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190641464 = 23132372103
BaseRepresentation
bin10110101110011…
…11010100111000
3111021201120220222
423113033110320
5342301011324
630530035212
74503266006
oct1327172470
9437646828
10190641464
1198680832
1253a18b08
133065b700
141b467a76
1511b0b55e
hexb5cf538

190641464 has 72 divisors (see below), whose sum is σ = 401670360. Its totient is φ = 84779136.

The previous prime is 190641433. The next prime is 190641467. The reversal of 190641464 is 464146091.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190641467) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1850837 + ... + 1850939.

It is an arithmetic number, because the mean of its divisors is an integer number (5578755).

Almost surely, 2190641464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190641464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200835180).

190641464 is an abundant number, since it is smaller than the sum of its proper divisors (211028896).

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

190641464 is a wasteful number, since it uses less digits than its factorization.

190641464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 190641464 is about 13807.2974908198. The cubic root of 190641464 is about 575.5359479337.

The spelling of 190641464 in words is "one hundred ninety million, six hundred forty-one thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 26 37 52 74 103 104 148 169 206 296 338 412 481 676 824 962 1339 1352 1369 1924 2678 2738 3811 3848 5356 5476 6253 7622 10712 10952 12506 15244 17407 17797 25012 30488 34814 35594 49543 50024 69628 71188 99086 139256 141007 142376 198172 231361 282014 396344 462722 564028 644059 925444 1128056 1288118 1833091 1850888 2576236 3666182 5152472 7332364 14664728 23830183 47660366 95320732 190641464