Search a number
-
+
132024168 = 2334792579
BaseRepresentation
bin1111101111010…
…00011101101000
3100012102112010000
413313220131220
5232244233133
621033423000
73162121053
oct767503550
9305375100
10132024168
1168584791
123826aa60
1321476c13
1413769a9a
15b8cd413
hex7de8768

132024168 has 80 divisors (see below), whose sum is σ = 374616000. Its totient is φ = 43434144.

The previous prime is 132024157. The next prime is 132024173. The reversal of 132024168 is 861420231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49903 + ... + 52481.

It is an arithmetic number, because the mean of its divisors is an integer number (4682700).

Almost surely, 2132024168 is an apocalyptic number.

132024168 is a gapful number since it is divisible by the number (18) 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 132024168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187308000).

132024168 is an abundant number, since it is smaller than the sum of its proper divisors (242591832).

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

132024168 is a wasteful number, since it uses less digits than its factorization.

132024168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2676 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 132024168 is about 11490.1770221350. The cubic root of 132024168 is about 509.1954095234.

Adding to 132024168 its reverse (861420231), we get a palindrome (993444399).

The spelling of 132024168 in words is "one hundred thirty-two million, twenty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 81 108 158 162 216 237 316 324 474 632 648 711 948 1422 1896 2133 2579 2844 4266 5158 5688 6399 7737 8532 10316 12798 15474 17064 20632 23211 25596 30948 46422 51192 61896 69633 92844 139266 185688 203741 208899 278532 407482 417798 557064 611223 814964 835596 1222446 1629928 1671192 1833669 2444892 3667338 4889784 5501007 7334676 11002014 14669352 16503021 22004028 33006042 44008056 66012084 132024168