Search a number
-
+
10321120 = 255251257
BaseRepresentation
bin100111010111…
…110011100000
3201102100220201
4213113303200
510120233440
61005114544
7153504505
oct47276340
921370821
1010321120
11590a457
123558a54
1321a4a94
1415294ac
15d8d19a
hex9d7ce0

10321120 has 48 divisors (see below), whose sum is σ = 24576048. Its totient is φ = 4096000.

The previous prime is 10321117. The next prime is 10321121. The reversal of 10321120 is 2112301.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10321097 and 10321106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10321121) 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 7 ways as a sum of consecutive naturals, for example, 40032 + ... + 40288.

It is an arithmetic number, because the mean of its divisors is an integer number (512001).

Almost surely, 210321120 is an apocalyptic number.

10321120 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 10321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12288024).

10321120 is an abundant number, since it is smaller than the sum of its proper divisors (14254928).

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

10321120 is a wasteful number, since it uses less digits than its factorization.

10321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 10321120 is about 3212.6499964982. The cubic root of 10321120 is about 217.7253224890.

Adding to 10321120 its reverse (2112301), we get a palindrome (12433421).

The spelling of 10321120 in words is "ten million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 251 257 502 514 1004 1028 1255 1285 2008 2056 2510 2570 4016 4112 5020 5140 8032 8224 10040 10280 20080 20560 40160 41120 64507 129014 258028 322535 516056 645070 1032112 1290140 2064224 2580280 5160560 10321120