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412880080 = 24515313371
BaseRepresentation
bin11000100111000…
…000110011010000
31001202220110222211
4120213000303100
51321144130310
6104545241504
713142265004
oct3047006320
91052813884
10412880080
111a2072a08
12b6333294
1367701052
143cb98704
15263a9c8a
hex189c0cd0

412880080 has 40 divisors (see below), whose sum is σ = 960858144. Its totient is φ = 164995200.

The previous prime is 412880059. The next prime is 412880081. The reversal of 412880080 is 80088214.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412880081) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 120795 + ... + 124165.

Almost surely, 2412880080 is an apocalyptic number.

412880080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412880080 is an abundant number, since it is smaller than the sum of its proper divisors (547978064).

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

412880080 is a wasteful number, since it uses less digits than its factorization.

412880080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4915 (or 4909 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 412880080 is about 20319.4507799793. The cubic root of 412880080 is about 744.6313387017.

The spelling of 412880080 in words is "four hundred twelve million, eight hundred eighty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1531 3062 3371 6124 6742 7655 12248 13484 15310 16855 24496 26968 30620 33710 53936 61240 67420 122480 134840 269680 5161001 10322002 20644004 25805005 41288008 51610010 82576016 103220020 206440040 412880080