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132331400 = 23521738921
BaseRepresentation
bin1111110001100…
…11011110001000
3100020000010112222
413320303132020
5232334101100
621044153212
73164540555
oct770633610
9306003488
10132331400
11687745a3
1238398808
1321553a06
1413809a2c
15b93e485
hex7e33788

132331400 has 48 divisors (see below), whose sum is σ = 325777140. Its totient is φ = 49817600.

The previous prime is 132331369. The next prime is 132331403. The reversal of 132331400 is 4133231.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 20268004 + 112063396 = 4502^2 + 10586^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (132331403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16061 + ... + 22860.

Almost surely, 2132331400 is an apocalyptic number.

132331400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132331400 is an abundant number, since it is smaller than the sum of its proper divisors (193445740).

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

132331400 is a wasteful number, since it uses less digits than its factorization.

132331400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38954 (or 38945 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 132331400 is about 11503.5385860178. The cubic root of 132331400 is about 509.5900845597.

Adding to 132331400 its reverse (4133231), we get a palindrome (136464631).

It can be divided in two parts, 1323 and 31400, that added together give a palindrome (32723).

The spelling of 132331400 in words is "one hundred thirty-two million, three hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 38921 77842 155684 194605 311368 389210 661657 778420 973025 1323314 1556840 1946050 2646628 3308285 3892100 5293256 6616570 7784200 13233140 16541425 26466280 33082850 66165700 132331400