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132131104 = 2574011471
BaseRepresentation
bin1111110000000…
…10100100100000
3100012121221210121
413320002210200
5232311143404
621040010024
73163044610
oct770024440
9305557717
10132131104
1168648066
1238300914
13214b37b1
1413796a40
15b8eee54
hex7e02920

132131104 has 48 divisors (see below), whose sum is σ = 298238976. Its totient is φ = 56448000.

The previous prime is 132131101. The next prime is 132131117. The reversal of 132131104 is 401131231.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (132131101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89089 + ... + 90559.

It is an arithmetic number, because the mean of its divisors is an integer number (6213312).

Almost surely, 2132131104 is an apocalyptic number.

132131104 is a gapful number since it is divisible by the number (14) 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 132131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149119488).

132131104 is an abundant number, since it is smaller than the sum of its proper divisors (166107872).

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

132131104 is a wasteful number, since it uses less digits than its factorization.

132131104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 132131104 is about 11494.8294463206. The cubic root of 132131104 is about 509.3328505854.

Adding to 132131104 its reverse (401131231), we get a palindrome (533262335).

The spelling of 132131104 in words is "one hundred thirty-two million, one hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 401 802 1471 1604 2807 2942 3208 5614 5884 6416 10297 11228 11768 12832 20594 22456 23536 41188 44912 47072 82376 89824 164752 329504 589871 1179742 2359484 4129097 4718968 8258194 9437936 16516388 18875872 33032776 66065552 132131104