Search a number
-
+
190271424 = 2637672113
BaseRepresentation
bin10110101011101…
…00111111000000
3111021000210022210
423111310333000
5342202141144
630514102120
74500165120
oct1325647700
9437023283
10190271424
1198448812
125387a940
133055c155
141b3acc80
1511a86ab9
hexb574fc0

190271424 has 112 divisors (see below), whose sum is σ = 584208128. Its totient is φ = 53526528.

The previous prime is 190271423. The next prime is 190271443. The reversal of 190271424 is 424172091.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 190271391 and 190271400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190271423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88992 + ... + 91104.

It is an arithmetic number, because the mean of its divisors is an integer number (5216144).

Almost surely, 2190271424 is an apocalyptic number.

190271424 is a gapful number since it is divisible by the number (14) 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 190271424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292104064).

190271424 is an abundant number, since it is smaller than the sum of its proper divisors (393936704).

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

190271424 is a wasteful number, since it uses less digits than its factorization.

190271424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 190271424 is about 13793.8908216645. The cubic root of 190271424 is about 575.1633300349.

The spelling of 190271424 in words is "one hundred ninety million, two hundred seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 67 84 96 112 134 168 192 201 224 268 336 402 448 469 536 672 804 938 1072 1344 1407 1608 1876 2113 2144 2814 3216 3752 4226 4288 5628 6339 6432 7504 8452 11256 12678 12864 14791 15008 16904 22512 25356 29582 30016 33808 44373 45024 50712 59164 67616 88746 90048 101424 118328 135232 141571 177492 202848 236656 283142 354984 405696 424713 473312 566284 709968 849426 946624 990997 1132568 1419936 1698852 1981994 2265136 2839872 2972991 3397704 3963988 4530272 5945982 6795408 7927976 9060544 11891964 13590816 15855952 23783928 27181632 31711904 47567856 63423808 95135712 190271424