Search a number
-
+
145080 = 233251331
BaseRepresentation
bin100011011010111000
321101000100
4203122320
514120310
63035400
71142655
oct433270
9241010
10145080
119a001
126bb60
1351060
143ac2c
152cec0
hex236b8

145080 has 96 divisors (see below), whose sum is σ = 524160. Its totient is φ = 34560.

The previous prime is 145069. The next prime is 145091. The reversal of 145080 is 80541.

145080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145069) and next prime (145091).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4665 + ... + 4695.

It is an arithmetic number, because the mean of its divisors is an integer number (5460).

2145080 is an apocalyptic number.

145080 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 145080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262080).

145080 is an abundant number, since it is smaller than the sum of its proper divisors (379080).

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

145080 is a wasteful number, since it uses less digits than its factorization.

145080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 145080 is about 380.8936859545. The cubic root of 145080 is about 52.5455387194.

The spelling of 145080 in words is "one hundred forty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 31 36 39 40 45 52 60 62 65 72 78 90 93 104 117 120 124 130 155 156 180 186 195 234 248 260 279 310 312 360 372 390 403 465 468 520 558 585 620 744 780 806 930 936 1116 1170 1209 1240 1395 1560 1612 1860 2015 2232 2340 2418 2790 3224 3627 3720 4030 4680 4836 5580 6045 7254 8060 9672 11160 12090 14508 16120 18135 24180 29016 36270 48360 72540 145080