Search a number
-
+
10040364 = 22321312129
BaseRepresentation
bin100110010011…
…010000101100
3200220002210100
4212103100230
510032242424
6555111100
7151225125
oct46232054
920802710
1010040364
115738524
123442490
132107059
14149504c
15d34dc9
hex99342c

10040364 has 36 divisors (see below), whose sum is σ = 25585560. Its totient is φ = 3319680.

The previous prime is 10040363. The next prime is 10040399. The reversal of 10040364 is 46304001.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (10040363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3652 + ... + 5780.

It is an arithmetic number, because the mean of its divisors is an integer number (710710).

Almost surely, 210040364 is an apocalyptic number.

It is an amenable number.

10040364 is an abundant number, since it is smaller than the sum of its proper divisors (15545196).

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

10040364 is a wasteful number, since it uses less digits than its factorization.

10040364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10040364 is about 3168.6533417211. The cubic root of 10040364 is about 215.7329518684.

Adding to 10040364 its reverse (46304001), we get a palindrome (56344365).

It can be divided in two parts, 10040 and 364, that added together give a square (10404 = 1022).

The spelling of 10040364 in words is "ten million, forty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 131 262 393 524 786 1179 1572 2129 2358 4258 4716 6387 8516 12774 19161 25548 38322 76644 278899 557798 836697 1115596 1673394 2510091 3346788 5020182 10040364