Search a number
-
+
132110000 = 2454111201
BaseRepresentation
bin1111101111111…
…01011010110000
3100012120212211222
413313331122300
5232310010000
621035324212
73162626231
oct767753260
9305525758
10132110000
1168633220
12382b0668
13214a6cc9
141378d088
15b8e8a85
hex7dfd6b0

132110000 has 100 divisors (see below), whose sum is σ = 349219464. Its totient is φ = 48000000.

The previous prime is 132109981. The next prime is 132110039. The reversal of 132110000 is 11231.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 132110000.

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, 109400 + ... + 110600.

Almost surely, 2132110000 is an apocalyptic number.

132110000 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 132110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174609732).

132110000 is an abundant number, since it is smaller than the sum of its proper divisors (217109464).

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

132110000 is a wasteful number, since it uses less digits than its factorization.

132110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 132110000 is about 11493.9114317103. The cubic root of 132110000 is about 509.3057322348.

Adding to 132110000 its reverse (11231), we get a palindrome (132121231).

The spelling of 132110000 in words is "one hundred thirty-two million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1201 1250 1375 2000 2200 2402 2500 2750 4400 4804 5000 5500 6005 6875 9608 10000 11000 12010 13211 13750 19216 22000 24020 26422 27500 30025 48040 52844 55000 60050 66055 96080 105688 110000 120100 132110 150125 211376 240200 264220 300250 330275 480400 528440 600500 660550 750625 1056880 1201000 1321100 1501250 1651375 2402000 2642200 3002500 3302750 5284400 6005000 6605500 8256875 12010000 13211000 16513750 26422000 33027500 66055000 132110000