Search a number
-
+
9989910 = 23257101157
BaseRepresentation
bin100110000110…
…111100010110
3200210112120200
4212012330112
510024134120
6554041330
7150625050
oct46067426
920715520
109989910
115703627
123419246
1320ba0b8
1414808d0
15d24e90
hex986f16

9989910 has 96 divisors (see below), whose sum is σ = 30169152. Its totient is φ = 2246400.

The previous prime is 9989899. The next prime is 9989921. The reversal of 9989910 is 199899.

It can be divided in two parts, 99 and 89910, that added together give a palindrome (90009).

9989910 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9989899) and next prime (9989921).

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, 63552 + ... + 63708.

It is an arithmetic number, because the mean of its divisors is an integer number (314262).

Almost surely, 29989910 is an apocalyptic number.

9989910 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9989910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15084576).

9989910 is an abundant number, since it is smaller than the sum of its proper divisors (20179242).

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

9989910 is a wasteful number, since it uses less digits than its factorization.

9989910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 45.

The square root of 9989910 is about 3160.6818884538. The cubic root of 9989910 is about 215.3709837985.

The spelling of 9989910 in words is "nine million, nine hundred eighty-nine thousand, nine hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 101 105 126 157 202 210 303 314 315 471 505 606 630 707 785 909 942 1010 1099 1413 1414 1515 1570 1818 2121 2198 2355 2826 3030 3297 3535 4242 4545 4710 5495 6363 6594 7065 7070 9090 9891 10605 10990 12726 14130 15857 16485 19782 21210 31714 31815 32970 47571 49455 63630 79285 95142 98910 110999 142713 158570 221998 237855 285426 332997 475710 554995 665994 713565 998991 1109990 1427130 1664985 1997982 3329970 4994955 9989910