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387090 = 2325111723
BaseRepresentation
bin1011110100000010010
3201122222200
41132200102
544341330
612144030
73201354
oct1364022
9648880
10387090
11244910
12168016
13107262
14a10d4
1579a60
hex5e812

387090 has 96 divisors (see below), whose sum is σ = 1213056. Its totient is φ = 84480.

The previous prime is 387089. The next prime is 387109. The reversal of 387090 is 90783.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

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 387090.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16819 + ... + 16841.

It is an arithmetic number, because the mean of its divisors is an integer number (12636).

2387090 is an apocalyptic number.

387090 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 387090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606528).

387090 is an abundant number, since it is smaller than the sum of its proper divisors (825966).

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

387090 is a wasteful number, since it uses less digits than its factorization.

387090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 387090 is about 622.1655728180. The cubic root of 387090 is about 72.8792649909.

The spelling of 387090 in words is "three hundred eighty-seven thousand, ninety".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 23 30 33 34 45 46 51 55 66 69 85 90 99 102 110 115 138 153 165 170 187 198 207 230 253 255 306 330 345 374 391 414 495 506 510 561 690 759 765 782 935 990 1035 1122 1173 1265 1518 1530 1683 1870 1955 2070 2277 2346 2530 2805 3366 3519 3795 3910 4301 4554 5610 5865 7038 7590 8415 8602 11385 11730 12903 16830 17595 21505 22770 25806 35190 38709 43010 64515 77418 129030 193545 387090