Search a number
-
+
145580 = 22529251
BaseRepresentation
bin100011100010101100
321101200212
4203202230
514124310
63041552
71144301
oct434254
9241625
10145580
119a416
12702b8
1351356
143b0a8
152d205
hex238ac

145580 has 24 divisors (see below), whose sum is σ = 317520. Its totient is φ = 56000.

The previous prime is 145577. The next prime is 145589. The reversal of 145580 is 85541.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145589) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 455 + ... + 705.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2145580 is an apocalyptic number.

145580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158760).

145580 is an abundant number, since it is smaller than the sum of its proper divisors (171940).

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

145580 is a wasteful number, since it uses less digits than its factorization.

145580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 145580 is about 381.5494725458. The cubic root of 145580 is about 52.6058333731.

It can be divided in two parts, 145 and 580, that multiplied together give a square (84100 = 2902).

The spelling of 145580 in words is "one hundred forty-five thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 116 145 251 290 502 580 1004 1255 2510 5020 7279 14558 29116 36395 72790 145580