Search a number
-
+
10040120 = 235251003
BaseRepresentation
bin100110010011…
…001100111000
3200220002110022
4212103030320
510032240440
6555110012
7151224326
oct46231470
920802408
1010040120
115738322
123442308
132106bcc
141494d16
15d34cb5
hex993338

10040120 has 16 divisors (see below), whose sum is σ = 22590360. Its totient is φ = 4016032.

The previous prime is 10040117. The next prime is 10040123. The reversal of 10040120 is 2104001.

It is an interprime number because it is at equal distance from previous prime (10040117) and next prime (10040123).

It is a super-2 number, since 2×100401202 = 201608019228800, which contains 22 as substring.

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 = 10040098 and 10040107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10040123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125462 + ... + 125541.

Almost surely, 210040120 is an apocalyptic number.

10040120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10040120 is an abundant number, since it is smaller than the sum of its proper divisors (12550240).

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

10040120 is a wasteful number, since it uses less digits than its factorization.

10040120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251014 (or 251010 counting only the distinct ones).

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

The square root of 10040120 is about 3168.6148393265. The cubic root of 10040120 is about 215.7312042801.

Adding to 10040120 its reverse (2104001), we get a palindrome (12144121).

The spelling of 10040120 in words is "ten million, forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 251003 502006 1004012 1255015 2008024 2510030 5020060 10040120