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381150 = 232527112
BaseRepresentation
bin1011101000011011110
3201100211200
41131003132
544144100
612100330
73145140
oct1350336
9640750
10381150
11240400
121646a6
13104643
149cc90
1577e00
hex5d0de

381150 has 108 divisors (see below), whose sum is σ = 1286376. Its totient is φ = 79200.

The previous prime is 381103. The next prime is 381167. The reversal of 381150 is 51183.

It is a happy number.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 381150.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 34645 + ... + 34655.

2381150 is an apocalyptic number.

381150 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 381150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643188).

381150 is an abundant number, since it is smaller than the sum of its proper divisors (905226).

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

381150 is a wasteful number, since it uses less digits than its factorization.

381150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 381150 is about 617.3734688177. The cubic root of 381150 is about 72.5045577793.

The spelling of 381150 in words is "three hundred eighty-one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 25 30 33 35 42 45 50 55 63 66 70 75 77 90 99 105 110 121 126 150 154 165 175 198 210 225 231 242 275 315 330 350 363 385 450 462 495 525 550 605 630 693 726 770 825 847 990 1050 1089 1155 1210 1386 1575 1650 1694 1815 1925 2178 2310 2475 2541 3025 3150 3465 3630 3850 4235 4950 5082 5445 5775 6050 6930 7623 8470 9075 10890 11550 12705 15246 17325 18150 21175 25410 27225 34650 38115 42350 54450 63525 76230 127050 190575 381150