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380080720 = 2457096701
BaseRepresentation
bin10110101001111…
…001001001010000
3222111012002201201
4112221321021100
51234300040340
6101414240544
712263430025
oct2651711120
9874162651
10380080720
111856002a8
12a7356154
1360988b46
143869b54c
152357b79a
hex16a79250

380080720 has 40 divisors (see below), whose sum is σ = 885066120. Its totient is φ = 151795200.

The previous prime is 380080717. The next prime is 380080721. The reversal of 380080720 is 27080083.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1700416 + 378380304 = 1304^2 + 19452^2 .

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

It is a super-2 number, since 2×3800807202 = 288922707431436800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380080721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53370 + ... + 60070.

It is an arithmetic number, because the mean of its divisors is an integer number (22126653).

Almost surely, 2380080720 is an apocalyptic number.

It is an amenable number.

380080720 is an abundant number, since it is smaller than the sum of its proper divisors (504985400).

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

380080720 is a wasteful number, since it uses less digits than its factorization.

380080720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7423 (or 7417 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 380080720 is about 19495.6590039937. The cubic root of 380080720 is about 724.3669273437.

The spelling of 380080720 in words is "three hundred eighty million, eighty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 709 1418 2836 3545 5672 6701 7090 11344 13402 14180 26804 28360 33505 53608 56720 67010 107216 134020 268040 536080 4751009 9502018 19004036 23755045 38008072 47510090 76016144 95020180 190040360 380080720