[go: up one dir, main page]

Search a number
-
+
10320102 = 2331361241
BaseRepresentation
bin100111010111…
…100011100110
3201102022112000
4213113203212
510120220402
61005110130
7153501522
oct47274346
921368460
1010320102
115909711
123558346
1321a4490
141528d82
15d8cc1c
hex9d78e6

10320102 has 64 divisors (see below), whose sum is σ = 25206720. Its totient is φ = 3110400.

The previous prime is 10320091. The next prime is 10320109. The reversal of 10320102 is 20102301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10320109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42702 + ... + 42942.

It is an arithmetic number, because the mean of its divisors is an integer number (393855).

Almost surely, 210320102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10320102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12603360).

10320102 is an abundant number, since it is smaller than the sum of its proper divisors (14886618).

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

10320102 is a wasteful number, since it uses less digits than its factorization.

10320102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10320102 is about 3212.4915564091. The cubic root of 10320102 is about 217.7181639744.

Adding to 10320102 its reverse (20102301), we get a palindrome (30422403).

The spelling of 10320102 in words is "ten million, three hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 61 78 117 122 183 234 241 351 366 482 549 702 723 793 1098 1446 1586 1647 2169 2379 3133 3294 4338 4758 6266 6507 7137 9399 13014 14274 14701 18798 21411 28197 29402 42822 44103 56394 84591 88206 132309 169182 191113 264618 382226 396927 573339 793854 1146678 1720017 3440034 5160051 10320102