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132443120 = 24541149271
BaseRepresentation
bin1111110010011…
…10101111110000
3100020012210210202
413321032233300
5232401134440
621050414332
73165514355
oct771165760
9306183722
10132443120
1168840527
12384313a8
1321592814
141383862c
15b962615
hex7e4ebf0

132443120 has 80 divisors (see below), whose sum is σ = 318729600. Its totient is φ = 51148800.

The previous prime is 132443117. The next prime is 132443123. The reversal of 132443120 is 21344231.

It is an interprime number because it is at equal distance from previous prime (132443117) and next prime (132443123).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 132443092 and 132443101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132443123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488585 + ... + 488855.

It is an arithmetic number, because the mean of its divisors is an integer number (3984120).

Almost surely, 2132443120 is an apocalyptic number.

132443120 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 132443120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159364800).

132443120 is an abundant number, since it is smaller than the sum of its proper divisors (186286480).

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

132443120 is a wasteful number, since it uses less digits than its factorization.

132443120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 132443120 is about 11508.3934586892. The cubic root of 132443120 is about 509.7334503581.

Adding to 132443120 its reverse (21344231), we get a palindrome (153787351).

It can be divided in two parts, 1324 and 43120, that added together give a palindrome (44444).

The spelling of 132443120 in words is "one hundred thirty-two million, four hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 149 164 205 271 298 328 410 542 596 656 745 820 1084 1192 1355 1490 1640 2168 2384 2710 2980 3280 4336 5420 5960 6109 10840 11111 11920 12218 21680 22222 24436 30545 40379 44444 48872 55555 61090 80758 88888 97744 111110 122180 161516 177776 201895 222220 244360 323032 403790 444440 488720 646064 807580 888880 1615160 1655539 3230320 3311078 6622156 8277695 13244312 16555390 26488624 33110780 66221560 132443120