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190018530 = 2325133312
BaseRepresentation
bin10110101001101…
…11001111100010
3111020112221102100
423110313033202
5342121043110
630504431230
74465062612
oct1324671742
9436487370
10190018530
1198295809
1253778516
13304a1000
141b344a42
1511a36bc0
hexb5373e2

190018530 has 144 divisors (see below), whose sum is σ = 553021560. Its totient is φ = 45264960.

The previous prime is 190018519. The next prime is 190018541. The reversal of 190018530 is 35810091.

It is an interprime number because it is at equal distance from previous prime (190018519) and next prime (190018541).

It can be written as a sum of positive squares in 4 ways, for example, as 3122289 + 186896241 = 1767^2 + 13671^2 .

It is a super-2 number, since 2×1900185302 = 72214083486721800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 190018494 and 190018503.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6129615 + ... + 6129645.

Almost surely, 2190018530 is an apocalyptic number.

190018530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 190018530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276510780).

190018530 is an abundant number, since it is smaller than the sum of its proper divisors (363003030).

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

190018530 is a wasteful number, since it uses less digits than its factorization.

190018530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 190018530 is about 13784.7208894486. The cubic root of 190018530 is about 574.9083962454.

The spelling of 190018530 in words is "one hundred ninety million, eighteen thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 31 39 45 62 65 78 90 93 117 130 155 169 186 195 234 279 310 338 390 403 465 507 558 585 806 845 930 961 1014 1170 1209 1395 1521 1690 1922 2015 2197 2418 2535 2790 2883 3042 3627 4030 4394 4805 5070 5239 5766 6045 6591 7254 7605 8649 9610 10478 10985 12090 12493 13182 14415 15210 15717 17298 18135 19773 21970 24986 26195 28830 31434 32955 36270 37479 39546 43245 47151 52390 62465 65910 68107 74958 78585 86490 94302 98865 112437 124930 136214 157170 162409 187395 197730 204321 224874 235755 324818 340535 374790 408642 471510 487227 562185 612963 681070 812045 974454 1021605 1124370 1225926 1461681 1624090 2043210 2111317 2436135 2923362 3064815 4222634 4872270 6129630 6333951 7308405 10556585 12667902 14616810 19001853 21113170 31669755 38003706 63339510 95009265 190018530