Search a number
-
+
10398060 = 2232561947
BaseRepresentation
bin100111101010…
…100101101100
3201120021110100
4213222211230
510130214220
61010511100
7154245021
oct47524554
921507410
1010398060
115962242
123595490
132200aca
141549548
15da5d90
hex9ea96c

10398060 has 72 divisors (see below), whose sum is σ = 32091696. Its totient is φ = 2724480.

The previous prime is 10398053. The next prime is 10398061. The reversal of 10398060 is 6089301.

It is not an unprimeable number, because it can be changed into a prime (10398061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10507 + ... + 11453.

It is an arithmetic number, because the mean of its divisors is an integer number (445718).

Almost surely, 210398060 is an apocalyptic number.

10398060 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 10398060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16045848).

10398060 is an abundant number, since it is smaller than the sum of its proper divisors (21693636).

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

10398060 is a wasteful number, since it uses less digits than its factorization.

10398060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10398060 is about 3224.6023010598. The cubic root of 10398060 is about 218.2650033182.

The spelling of 10398060 in words is "ten million, three hundred ninety-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 947 1098 1220 1830 1894 2196 2745 2841 3660 3788 4735 5490 5682 8523 9470 10980 11364 14205 17046 18940 28410 34092 42615 56820 57767 85230 115534 170460 173301 231068 288835 346602 519903 577670 693204 866505 1039806 1155340 1733010 2079612 2599515 3466020 5199030 10398060