Search a number
-
+
10022120 = 2351913187
BaseRepresentation
bin100110001110…
…110011101000
3200212011202122
4212032303220
510031201440
6554450412
7151121003
oct46166350
920764678
1010022120
115725849
123433a08
1320cb964
14148c53a
15d2e7b5
hex98ece8

10022120 has 32 divisors (see below), whose sum is σ = 23738400. Its totient is φ = 3797568.

The previous prime is 10022119. The next prime is 10022123. The reversal of 10022120 is 2122001.

10022120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 10022098 and 10022107.

It is not an unprimeable number, because it can be changed into a prime (10022123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5834 + ... + 7353.

It is an arithmetic number, because the mean of its divisors is an integer number (741825).

Almost surely, 210022120 is an apocalyptic number.

10022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022120 is an abundant number, since it is smaller than the sum of its proper divisors (13716280).

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

10022120 is a wasteful number, since it uses less digits than its factorization.

10022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13217 (or 13213 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 10022120 is about 3165.7732072908. The cubic root of 10022120 is about 215.6022056700.

Adding to 10022120 its reverse (2122001), we get a palindrome (12144121).

The spelling of 10022120 in words is "ten million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 13187 26374 52748 65935 105496 131870 250553 263740 501106 527480 1002212 1252765 2004424 2505530 5011060 10022120