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380519136 = 25321321247
BaseRepresentation
bin10110101011100…
…100001011100000
3222112000101010100
4112223210023200
51234403103021
6101431502400
712300234144
oct2653441340
9875011110
10380519136
1118587a728
12a7527a00
1360ab056a
1438773224
1523616626
hex16ae42e0

380519136 has 36 divisors (see below), whose sum is σ = 1082102112. Its totient is φ = 126839616.

The previous prime is 380519131. The next prime is 380519149. The reversal of 380519136 is 631915083.

It is a happy number.

380519136 is a `hidden beast` number, since 3 + 8 + 0 + 519 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 380519136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380519131) 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 5 ways as a sum of consecutive naturals, for example, 660336 + ... + 660911.

It is an arithmetic number, because the mean of its divisors is an integer number (30058392).

Almost surely, 2380519136 is an apocalyptic number.

380519136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

380519136 is an abundant number, since it is smaller than the sum of its proper divisors (701582976).

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

380519136 is a wasteful number, since it uses less digits than its factorization.

380519136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321263 (or 1321252 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 380519136 is about 19506.8997024130. The cubic root of 380519136 is about 724.6453348916.

The spelling of 380519136 in words is "three hundred eighty million, five hundred nineteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1321247 2642494 3963741 5284988 7927482 10569976 11891223 15854964 21139952 23782446 31709928 42279904 47564892 63419856 95129784 126839712 190259568 380519136