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380250 = 23253132
BaseRepresentation
bin1011100110101011010
3201022121100
41130311122
544132000
612052230
73142413
oct1346532
9638540
10380250
1123a762
12164076
13104100
149c80a
1577a00
hex5cd5a

380250 has 72 divisors (see below), whose sum is σ = 1113372. Its totient is φ = 93600.

The previous prime is 380231. The next prime is 380251. The reversal of 380250 is 52083.

380250 = T94 + T95 + ... + T145.

380250 is nontrivially palindromic in base 7.

380250 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 16641 + 363609 = 129^2 + 603^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (380251) 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 35 ways as a sum of consecutive naturals, for example, 29244 + ... + 29256.

2380250 is an apocalyptic number.

380250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 380250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556686).

380250 is an abundant number, since it is smaller than the sum of its proper divisors (733122).

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

380250 is a wasteful number, since it uses less digits than its factorization.

380250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 380250 is about 616.6441437328. The cubic root of 380250 is about 72.4474450673.

It can be divided in two parts, 380 and 250, that added together give a triangular number (630 = T35).

The spelling of 380250 in words is "three hundred eighty thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 125 130 150 169 195 225 234 250 325 338 375 390 450 507 585 650 750 845 975 1014 1125 1170 1521 1625 1690 1950 2250 2535 2925 3042 3250 4225 4875 5070 5850 7605 8450 9750 12675 14625 15210 21125 25350 29250 38025 42250 63375 76050 126750 190125 380250