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132400317 = 3761103357
BaseRepresentation
bin1111110010001…
…00010010111101
3100020010122002110
413321010102331
5232343302232
621045444233
73165245520
oct771042275
9306118073
10132400317
1168811355
1238410679
13215791aa
1413826bb7
15b954acc
hex7e444bd

132400317 has 16 divisors (see below), whose sum is σ = 205062272. Its totient is φ = 74416320.

The previous prime is 132400309. The next prime is 132400327. The reversal of 132400317 is 713004231.

It is not a de Polignac number, because 132400317 - 23 = 132400309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132400293 and 132400302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132400327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50398 + ... + 52959.

It is an arithmetic number, because the mean of its divisors is an integer number (12816392).

Almost surely, 2132400317 is an apocalyptic number.

It is an amenable number.

132400317 is a deficient number, since it is larger than the sum of its proper divisors (72661955).

132400317 is a wasteful number, since it uses less digits than its factorization.

132400317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103428.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 132400317 is about 11506.5336657049. The cubic root of 132400317 is about 509.6785325144.

Adding to 132400317 its reverse (713004231), we get a palindrome (845404548).

The spelling of 132400317 in words is "one hundred thirty-two million, four hundred thousand, three hundred seventeen".

Divisors: 1 3 7 21 61 183 427 1281 103357 310071 723499 2170497 6304777 18914331 44133439 132400317