Search a number
-
+
402080940 = 22325172329197
BaseRepresentation
bin10111111101110…
…100010010101100
31001000120211100200
4113331310102230
51310413042230
6103521553500
712651426432
oct2775642254
91030524320
10402080940
11196a673a8
12b27a5890
13653bc821
143b586d52
1525475160
hex17f744ac

402080940 has 288 divisors, whose sum is σ = 1401079680. Its totient is φ = 92725248.

The previous prime is 402080927. The next prime is 402080941. The reversal of 402080940 is 49080204.

It is a super-2 number, since 2×4020809402 = 323338164622567200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (402080941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2040922 + ... + 2041118.

It is an arithmetic number, because the mean of its divisors is an integer number (4864860).

Almost surely, 2402080940 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 402080940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700539840).

402080940 is an abundant number, since it is smaller than the sum of its proper divisors (998998740).

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

402080940 is a wasteful number, since it uses less digits than its factorization.

402080940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 402080940 is about 20051.9560143144. The cubic root of 402080940 is about 738.0817984993.

The spelling of 402080940 in words is "four hundred two million, eighty thousand, nine hundred forty".