Search a number
-
+
869858190 = 234519291949
BaseRepresentation
bin110011110110001…
…111101110001110
32020121210101010000
4303312033232032
53240140430230
6222152025130
730361446465
oct6366175616
92217711100
10869858190
11407015373
122033921a6
1310b2a1cb6
14837519dc
1551575b60
hex33d8fb8e

869858190 has 160 divisors (see below), whose sum is σ = 2548260000. Its totient is φ = 212067072.

The previous prime is 869858167. The next prime is 869858191. The reversal of 869858190 is 91858968.

It is a super-3 number, since 3×8698581903 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (869858191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 445336 + ... + 447284.

It is an arithmetic number, because the mean of its divisors is an integer number (15926625).

Almost surely, 2869858190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 869858190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274130000).

869858190 is an abundant number, since it is smaller than the sum of its proper divisors (1678401810).

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

869858190 is a wasteful number, since it uses less digits than its factorization.

869858190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The square root of 869858190 is about 29493.3584049019. The cubic root of 869858190 is about 954.5883993295.

The spelling of 869858190 in words is "eight hundred sixty-nine million, eight hundred fifty-eight thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 29 30 38 45 54 57 58 81 87 90 95 114 135 145 162 171 174 190 261 270 285 290 342 405 435 513 522 551 570 783 810 855 870 1026 1102 1305 1539 1566 1653 1710 1949 2349 2565 2610 2755 3078 3306 3898 3915 4698 4959 5130 5510 5847 7695 7830 8265 9745 9918 11694 11745 14877 15390 16530 17541 19490 23490 24795 29235 29754 35082 37031 44631 49590 52623 56521 58470 74062 74385 87705 89262 105246 111093 113042 148770 157869 169563 175410 185155 222186 223155 263115 282605 315738 333279 339126 370310 446310 508689 526230 555465 565210 666558 789345 847815 999837 1017378 1073899 1110930 1526067 1578690 1666395 1695630 1999674 2147798 2543445 2999511 3052134 3221697 3332790 4578201 4999185 5086890 5369495 5999022 6443394 7630335 9156402 9665091 9998370 10738990 14997555 15260670 16108485 19330182 22891005 28995273 29995110 32216970 45782010 48325455 57990546 86985819 96650910 144976365 173971638 289952730 434929095 869858190