Search a number
-
+
132161344 = 2671571879
BaseRepresentation
bin1111110000010…
…01111101000000
3100012200111021121
413320021331000
5232313130334
621040402024
73163232020
oct770117500
9305614247
10132161344
1168668857
1238316314
13214c44a3
14137a3a80
15b908db4
hex7e09f40

132161344 has 56 divisors (see below), whose sum is σ = 301792640. Its totient is φ = 56249856.

The previous prime is 132161333. The next prime is 132161353. The reversal of 132161344 is 443161231.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 69397 + ... + 71275.

Almost surely, 2132161344 is an apocalyptic number.

132161344 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 132161344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150896320).

132161344 is an abundant number, since it is smaller than the sum of its proper divisors (169631296).

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

132161344 is a wasteful number, since it uses less digits than its factorization.

132161344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2045 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 132161344 is about 11496.1447450874. The cubic root of 132161344 is about 509.3717035380.

The spelling of 132161344 in words is "one hundred thirty-two million, one hundred sixty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 157 224 314 448 628 1099 1256 1879 2198 2512 3758 4396 5024 7516 8792 10048 13153 15032 17584 26306 30064 35168 52612 60128 70336 105224 120256 210448 295003 420896 590006 841792 1180012 2065021 2360024 4130042 4720048 8260084 9440096 16520168 18880192 33040336 66080672 132161344