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132430340 = 22572177949
BaseRepresentation
bin1111110010010…
…11101000000100
3100020012011021102
413321023220010
5232400232330
621050235232
73165432200
oct771135004
9306164242
10132430340
1168831969
1238425b18
1321589a63
1413833b00
15b95d945
hex7e4ba04

132430340 has 72 divisors (see below), whose sum is σ = 342581400. Its totient is φ = 42728448.

The previous prime is 132430339. The next prime is 132430379. The reversal of 132430340 is 43034231.

It can be written as a sum of positive squares in 4 ways, for example, as 25969216 + 106461124 = 5096^2 + 10318^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12686 + ... + 20634.

It is an arithmetic number, because the mean of its divisors is an integer number (4758075).

Almost surely, 2132430340 is an apocalyptic number.

132430340 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 132430340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171290700).

132430340 is an abundant number, since it is smaller than the sum of its proper divisors (210151060).

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

132430340 is a wasteful number, since it uses less digits than its factorization.

132430340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7989 (or 7980 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 132430340 is about 11507.8381983759. The cubic root of 132430340 is about 509.7170543811.

Adding to 132430340 its reverse (43034231), we get a palindrome (175464571).

The spelling of 132430340 in words is "one hundred thirty-two million, four hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 980 1190 1666 2380 3332 4165 7949 8330 15898 16660 31796 39745 55643 79490 111286 135133 158980 222572 270266 278215 389501 540532 556430 675665 779002 945931 1112860 1351330 1558004 1891862 1947505 2702660 3783724 3895010 4729655 6621517 7790020 9459310 13243034 18918620 26486068 33107585 66215170 132430340