Search a number
-
+
132480 = 2732523
BaseRepresentation
bin100000010110000000
320201201200
4200112000
513214410
62501200
71061145
oct402600
9221650
10132480
1190597
1264800
13483ba
14363cc
15293c0
hex20580

132480 has 96 divisors (see below), whose sum is σ = 477360. Its totient is φ = 33792.

The previous prime is 132469. The next prime is 132491. The reversal of 132480 is 84231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132469) and next prime (132491).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

132480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5749 + ... + 5771.

2132480 is an apocalyptic number.

132480 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 132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238680).

132480 is an abundant number, since it is smaller than the sum of its proper divisors (344880).

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

132480 is a wasteful number, since it uses less digits than its factorization.

132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 132480 is about 363.9780213145. The cubic root of 132480 is about 50.9780759283.

The spelling of 132480 in words is "one hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 64 69 72 80 90 92 96 115 120 128 138 144 160 180 184 192 207 230 240 276 288 320 345 360 368 384 414 460 480 552 576 640 690 720 736 828 920 960 1035 1104 1152 1380 1440 1472 1656 1840 1920 2070 2208 2760 2880 2944 3312 3680 4140 4416 5520 5760 6624 7360 8280 8832 11040 13248 14720 16560 22080 26496 33120 44160 66240 132480