Search a number
-
+
40107504 = 2431018273
BaseRepresentation
bin1001100011111…
…1110111110000
32210110200011010
42120333313300
540231420004
63551350520
7664623333
oct230776760
983420133
1040107504
11207043a8
1211522440
138403768
14548061a
1537c3a89
hex263fdf0

40107504 has 40 divisors (see below), whose sum is σ = 104649552. Its totient is φ = 13235200.

The previous prime is 40107503. The next prime is 40107527. The reversal of 40107504 is 40570104.

It is a super-2 number, since 2×401075042 = 3217223754220032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40107503) 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, 712 + ... + 8984.

Almost surely, 240107504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40107504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52324776).

40107504 is an abundant number, since it is smaller than the sum of its proper divisors (64542048).

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

40107504 is a wasteful number, since it uses less digits than its factorization.

40107504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8385 (or 8379 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 40107504 is about 6333.0485550010. The cubic root of 40107504 is about 342.3012973572.

Adding to 40107504 its reverse (40570104), we get a palindrome (80677608).

The spelling of 40107504 in words is "forty million, one hundred seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 2424 4848 8273 16546 24819 33092 49638 66184 99276 132368 198552 397104 835573 1671146 2506719 3342292 5013438 6684584 10026876 13369168 20053752 40107504