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132416401 = 132783529
BaseRepresentation
bin1111110010010…
…00001110010001
3100020011110011011
413321020032101
5232344311101
621050050521
73165343435
oct771101621
9306143134
10132416401
1168822447
1238419a41
1321583600
141382c9c5
15b959751
hex7e48391

132416401 has 6 divisors (see below), whose sum is σ = 143385990. Its totient is φ = 122230368.

The previous prime is 132416387. The next prime is 132416441. The reversal of 132416401 is 104614231.

It can be written as a sum of positive squares in 3 ways, for example, as 8673025 + 123743376 = 2945^2 + 11124^2 .

It is not a de Polignac number, because 132416401 - 221 = 130319249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132416441) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 391596 + ... + 391933.

It is an arithmetic number, because the mean of its divisors is an integer number (23897665).

Almost surely, 2132416401 is an apocalyptic number.

It is an amenable number.

132416401 is a deficient number, since it is larger than the sum of its proper divisors (10969589).

132416401 is an equidigital number, since it uses as much as digits as its factorization.

132416401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783555 (or 783542 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 132416401 is about 11507.2325517476. The cubic root of 132416401 is about 509.6991702736.

The spelling of 132416401 in words is "one hundred thirty-two million, four hundred sixteen thousand, four hundred one".

Divisors: 1 13 169 783529 10185877 132416401