Search a number
-
+
88290 = 2345109
BaseRepresentation
bin10101100011100010
311111010000
4111203202
510311130
61520430
7515256
oct254342
9144100
1088290
1160374
1243116
1331257
1424266
151b260
hex158e2

88290 has 40 divisors (see below), whose sum is σ = 239580. Its totient is φ = 23328.

The previous prime is 88289. The next prime is 88301. The reversal of 88290 is 9288.

It can be written as a sum of positive squares in 2 ways, for example, as 88209 + 81 = 297^2 + 9^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 756 + ... + 864.

288290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119790).

88290 is an abundant number, since it is smaller than the sum of its proper divisors (151290).

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

88290 is a wasteful number, since it uses less digits than its factorization.

88290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 88290 is about 297.1363323459. The cubic root of 88290 is about 44.5284084059.

It can be divided in two parts, 88 and 290, that added together give a triangular number (378 = T27).

The spelling of 88290 in words is "eighty-eight thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 109 135 162 218 270 327 405 545 654 810 981 1090 1635 1962 2943 3270 4905 5886 8829 9810 14715 17658 29430 44145 88290