Search a number
-
+
3806819120 = 245133660403
BaseRepresentation
bin1110001011100111…
…0111001100110000
3100211022012110002202
43202321313030300
530244021202440
61425425202332
7163223300006
oct34271671460
910738173082
103806819120
111683939605
128a2a903a8
134888b41c0
14281828a76
15174316615
hexe2e77330

3806819120 has 40 divisors (see below), whose sum is σ = 9531692016. Its totient is φ = 1405594368.

The previous prime is 3806819101. The next prime is 3806819147. The reversal of 3806819120 is 219186083.

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1829162 + ... + 1831241.

Almost surely, 23806819120 is an apocalyptic number.

It is an amenable number.

3806819120 is an abundant number, since it is smaller than the sum of its proper divisors (5724872896).

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

3806819120 is a wasteful number, since it uses less digits than its factorization.

3806819120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3660429 (or 3660423 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 3806819120 is about 61699.4256051059. The cubic root of 3806819120 is about 1561.4236292002.

The spelling of 3806819120 in words is "three billion, eight hundred six million, eight hundred nineteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 3660403 7320806 14641612 18302015 29283224 36604030 47585239 58566448 73208060 95170478 146416120 190340956 237926195 292832240 380681912 475852390 761363824 951704780 1903409560 3806819120