Search a number
-
+
132875220 = 223589149167
BaseRepresentation
bin1111110101110…
…00001111010100
3100021000202112110
413322320033110
5233004001340
621103551020
73202264212
oct772701724
9307022473
10132875220
1169006135
12385bb470
13216b43ba
141390bcb2
15b9ea680
hex7eb83d4

132875220 has 96 divisors (see below), whose sum is σ = 381024000. Its totient is φ = 34591744.

The previous prime is 132875173. The next prime is 132875221. The reversal of 132875220 is 22578231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132875221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 795577 + ... + 795743.

It is an arithmetic number, because the mean of its divisors is an integer number (3969000).

Almost surely, 2132875220 is an apocalyptic number.

132875220 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 132875220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190512000).

132875220 is an abundant number, since it is smaller than the sum of its proper divisors (248148780).

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

132875220 is a wasteful number, since it uses less digits than its factorization.

132875220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 132875220 is about 11527.1514260896. The cubic root of 132875220 is about 510.2871892676.

The spelling of 132875220 in words is "one hundred thirty-two million, eight hundred seventy-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 149 167 178 267 298 334 356 445 447 501 534 596 668 745 835 890 894 1002 1068 1335 1490 1670 1780 1788 2004 2235 2505 2670 2980 3340 4470 5010 5340 8940 10020 13261 14863 24883 26522 29726 39783 44589 49766 53044 59452 66305 74315 74649 79566 89178 99532 124415 132610 148630 149298 159132 178356 198915 222945 248830 265220 297260 298596 373245 397830 445890 497660 746490 795660 891780 1492980 2214587 4429174 6643761 8858348 11072935 13287522 22145870 26575044 33218805 44291740 66437610 132875220