Search a number
-
+
10261026 = 2331973137
BaseRepresentation
bin100111001001…
…001000100010
3201022022111000
4213021020202
510111323101
61003532430
7153134346
oct47111042
921268430
1010261026
115879296
12352a116
132183619
141511626
15d7a486
hex9c9222

10261026 has 64 divisors (see below), whose sum is σ = 24508800. Its totient is φ = 3172608.

The previous prime is 10261019. The next prime is 10261039. The reversal of 10261026 is 62016201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74830 + ... + 74966.

It is an arithmetic number, because the mean of its divisors is an integer number (382950).

Almost surely, 210261026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10261026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12254400).

10261026 is an abundant number, since it is smaller than the sum of its proper divisors (14247774).

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

10261026 is a wasteful number, since it uses less digits than its factorization.

10261026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10261026 is about 3203.2836277795. The cubic root of 10261026 is about 217.3019362183.

Adding to 10261026 its reverse (62016201), we get a palindrome (72277227).

The spelling of 10261026 in words is "ten million, two hundred sixty-one thousand, twenty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 73 114 137 146 171 219 274 342 411 438 513 657 822 1026 1233 1314 1387 1971 2466 2603 2774 3699 3942 4161 5206 7398 7809 8322 10001 12483 15618 20002 23427 24966 30003 37449 46854 60006 70281 74898 90009 140562 180018 190019 270027 380038 540054 570057 1140114 1710171 3420342 5130513 10261026