Search a number
-
+
40100424 = 23372134361
BaseRepresentation
bin1001100011111…
…0001001001000
32210110022102220
42120332021020
540231203144
63551254040
7664563600
oct230761110
983408386
1040100424
11206aa051
121151a320
138400480
14547bc00
1537c1919
hex263e248

40100424 has 192 divisors, whose sum is σ = 130616640. Its totient is φ = 10160640.

The previous prime is 40100387. The next prime is 40100441. The reversal of 40100424 is 42400104.

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 47 ways as a sum of consecutive naturals, for example, 657354 + ... + 657414.

It is an arithmetic number, because the mean of its divisors is an integer number (680295).

Almost surely, 240100424 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 40100424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65308320).

40100424 is an abundant number, since it is smaller than the sum of its proper divisors (90516216).

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

40100424 is a wasteful number, since it uses less digits than its factorization.

40100424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 40100424 is about 6332.4895578279. The cubic root of 40100424 is about 342.2811545281.

Adding to 40100424 its reverse (42400104), we get a palindrome (82500528).

The spelling of 40100424 in words is "forty million, one hundred thousand, four hundred twenty-four".