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380588145 = 35721927253
BaseRepresentation
bin10110101011110…
…101000001110001
3222112010212210020
4112223311001301
51234412310040
6101433154053
712300642300
oct2653650161
9875125706
10380588145
11185917563
12a755b929
1360b05ab2
1438790437
152362bcd0
hex16af5071

380588145 has 48 divisors (see below), whose sum is σ = 745669440. Its totient is φ = 164820096.

The previous prime is 380588137. The next prime is 380588149. The reversal of 380588145 is 541885083.

It is not a de Polignac number, because 380588145 - 23 = 380588137 is a prime.

It is a super-2 number, since 2×3805881452 = 289694672229082050, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 380588097 and 380588106.

It is not an unprimeable number, because it can be changed into a prime (380588149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339 + ... + 27591.

It is an arithmetic number, because the mean of its divisors is an integer number (15534780).

Almost surely, 2380588145 is an apocalyptic number.

380588145 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

380588145 is a deficient number, since it is larger than the sum of its proper divisors (365081295).

380588145 is a wasteful number, since it uses less digits than its factorization.

380588145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27294 (or 27287 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The square root of 380588145 is about 19508.6684578933. The cubic root of 380588145 is about 724.6891382315.

The spelling of 380588145 in words is "three hundred eighty million, five hundred eighty-eight thousand, one hundred forty-five".

Divisors: 1 3 5 7 15 19 21 35 49 57 95 105 133 147 245 285 399 665 735 931 1995 2793 4655 13965 27253 81759 136265 190771 408795 517807 572313 953855 1335397 1553421 2589035 2861565 3624649 4006191 6676985 7767105 10873947 18123245 20030955 25372543 54369735 76117629 126862715 380588145