Search a number
-
+
132112024 = 23111798387
BaseRepresentation
bin1111101111111…
…01111010011000
3100012120222121221
413313331322120
5232310041044
621035341424
73162635152
oct767757230
9305528557
10132112024
11686347a0
12382b1874
13214a7bc5
141378dad2
15b8e9484
hex7dfde98

132112024 has 32 divisors (see below), whose sum is σ = 271771200. Its totient is φ = 59708320.

The previous prime is 132112021. The next prime is 132112061. The reversal of 132112024 is 420211231.

It is a junction number, because it is equal to n+sod(n) for n = 132111989 and 132112007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132112021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11559 + ... + 19945.

It is an arithmetic number, because the mean of its divisors is an integer number (8492850).

Almost surely, 2132112024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132112024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135885600).

132112024 is an abundant number, since it is smaller than the sum of its proper divisors (139659176).

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

132112024 is a wasteful number, since it uses less digits than its factorization.

132112024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8583 (or 8579 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 132112024 is about 11493.9994779885. Note that the first 3 decimals coincide. The cubic root of 132112024 is about 509.3083331722.

Adding to 132112024 its reverse (420211231), we get a palindrome (552323255).

The spelling of 132112024 in words is "one hundred thirty-two million, one hundred twelve thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 179 358 716 1432 1969 3938 7876 8387 15752 16774 33548 67096 92257 184514 369028 738056 1501273 3002546 6005092 12010184 16514003 33028006 66056012 132112024