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10040724 = 2232278909
BaseRepresentation
bin100110010011…
…010110010100
3200220010021200
4212103112110
510032300344
6555112500
7151226151
oct46232624
920803250
1010040724
115738821
123442730
132107275
141495228
15d35069
hex993594

10040724 has 18 divisors (see below), whose sum is σ = 25380810. Its totient is φ = 3346896.

The previous prime is 10040717. The next prime is 10040731. The reversal of 10040724 is 42704001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10040717) and next prime (10040731).

It can be written as a sum of positive squares in only one way, i.e., 8643600 + 1397124 = 2940^2 + 1182^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×100407242 = 201632276888352, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10040697 and 10040706.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 139419 + ... + 139490.

It is an arithmetic number, because the mean of its divisors is an integer number (1410045).

Almost surely, 210040724 is an apocalyptic number.

It is an amenable number.

10040724 is an abundant number, since it is smaller than the sum of its proper divisors (15340086).

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

10040724 is a wasteful number, since it uses less digits than its factorization.

10040724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278919 (or 278914 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 10040724 is about 3168.7101476784. The cubic root of 10040724 is about 215.7355302256.

Adding to 10040724 its reverse (42704001), we get a palindrome (52744725).

The spelling of 10040724 in words is "ten million, forty thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 278909 557818 836727 1115636 1673454 2510181 3346908 5020362 10040724