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132340110 = 23576110331
BaseRepresentation
bin1111110001101…
…01100110001110
3100020000120111120
413320311212032
5232334340420
621044301410
73164605140
oct770654616
9306016446
10132340110
11687800a1
12383a1866
1321557976
141380cc90
15b941d40
hex7e3598e

132340110 has 64 divisors (see below), whose sum is σ = 368976384. Its totient is φ = 29750400.

The previous prime is 132340057. The next prime is 132340133. The reversal of 132340110 is 11043231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132340110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7645 + ... + 17975.

It is an arithmetic number, because the mean of its divisors is an integer number (5765256).

Almost surely, 2132340110 is an apocalyptic number.

132340110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132340110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184488192).

132340110 is an abundant number, since it is smaller than the sum of its proper divisors (236636274).

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

132340110 is a wasteful number, since it uses less digits than its factorization.

132340110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10409.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 132340110 is about 11503.9171589507. The cubic root of 132340110 is about 509.6012646532.

Adding to 132340110 its reverse (11043231), we get a palindrome (143383341).

The spelling of 132340110 in words is "one hundred thirty-two million, three hundred forty thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 61 70 105 122 183 210 305 366 427 610 854 915 1281 1830 2135 2562 4270 6405 10331 12810 20662 30993 51655 61986 72317 103310 144634 154965 216951 309930 361585 433902 630191 723170 1084755 1260382 1890573 2169510 3150955 3781146 4411337 6301910 8822674 9452865 13234011 18905730 22056685 26468022 44113370 66170055 132340110