Search a number
-
+
8667990 = 23251937137
BaseRepresentation
bin100001000100…
…001101010110
3121022101020200
4201010031112
54204333430
6505441330
7133451052
oct41041526
917271220
108667990
114990431
122aa0246
131a464b6
141218c62
15b63460
hex844356

8667990 has 96 divisors (see below), whose sum is σ = 24541920. Its totient is φ = 2115072.

The previous prime is 8667979. The next prime is 8668001. The reversal of 8667990 is 997668.

It is an interprime number because it is at equal distance from previous prime (8667979) and next prime (8668001).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63202 + ... + 63338.

It is an arithmetic number, because the mean of its divisors is an integer number (255645).

Almost surely, 28667990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8667990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12270960).

8667990 is an abundant number, since it is smaller than the sum of its proper divisors (15873930).

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

8667990 is a wasteful number, since it uses less digits than its factorization.

8667990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 8667990 is about 2944.1450371882. The cubic root of 8667990 is about 205.4184591337.

The spelling of 8667990 in words is "eight million, six hundred sixty-seven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 37 38 45 57 74 90 95 111 114 137 171 185 190 222 274 285 333 342 370 411 555 570 666 685 703 822 855 1110 1233 1370 1406 1665 1710 2055 2109 2466 2603 3330 3515 4110 4218 5069 5206 6165 6327 7030 7809 10138 10545 12330 12654 13015 15207 15618 21090 23427 25345 26030 30414 31635 39045 45621 46854 50690 63270 76035 78090 91242 96311 117135 152070 192622 228105 234270 288933 456210 481555 577866 866799 963110 1444665 1733598 2889330 4333995 8667990