Search a number
-
+
190119540 = 223513713433
BaseRepresentation
bin10110101010011…
…11111001110100
3111020202001222110
423111033321310
5342132311130
630510531020
74465663242
oct1325177164
9436661873
10190119540
1198354696
1253806a70
1330507c90
141b36d792
1511a56ab0
hexb54fe74

190119540 has 96 divisors (see below), whose sum is σ = 581527296. Its totient is φ = 46126080.

The previous prime is 190119539. The next prime is 190119557. The reversal of 190119540 is 45911091.

190119540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1901195402 = 72290878979623200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 190119498 and 190119507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53664 + ... + 57096.

It is an arithmetic number, because the mean of its divisors is an integer number (6057576).

Almost surely, 2190119540 is an apocalyptic number.

190119540 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 190119540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290763648).

190119540 is an abundant number, since it is smaller than the sum of its proper divisors (391407756).

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

190119540 is a wasteful number, since it uses less digits than its factorization.

190119540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3529 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 30.

The square root of 190119540 is about 13788.3842418175. The cubic root of 190119540 is about 575.0102480845.

The spelling of 190119540 in words is "one hundred ninety million, one hundred nineteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 71 78 130 142 156 195 213 260 284 355 390 426 710 780 852 923 1065 1420 1846 2130 2769 3433 3692 4260 4615 5538 6866 9230 10299 11076 13732 13845 17165 18460 20598 27690 34330 41196 44629 51495 55380 68660 89258 102990 133887 178516 205980 223145 243743 267774 446290 487486 535548 669435 731229 892580 974972 1218715 1338870 1462458 2437430 2677740 2924916 3168659 3656145 4874860 6337318 7312290 9505977 12674636 14624580 15843295 19011954 31686590 38023908 47529885 63373180 95059770 190119540