Search a number
-
+
142626132 = 223211360167
BaseRepresentation
bin10001000000001…
…00110101010100
3100221101011021100
420200010311110
5243003014012
622052550100
73351205425
oct1040046524
9327334240
10142626132
1173566140
123b922330
132371977c
1414d2964c
15c7c48dc
hex8804d54

142626132 has 36 divisors (see below), whose sum is σ = 393303456. Its totient is φ = 43219920.

The previous prime is 142626091. The next prime is 142626137. The reversal of 142626132 is 231626241.

142626132 is a `hidden beast` number, since 1 + 4 + 2 + 626 + 1 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 142626096 and 142626105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142626137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179688 + ... + 180479.

It is an arithmetic number, because the mean of its divisors is an integer number (10925096).

Almost surely, 2142626132 is an apocalyptic number.

142626132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142626132 is an abundant number, since it is smaller than the sum of its proper divisors (250677324).

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

142626132 is a wasteful number, since it uses less digits than its factorization.

142626132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360188 (or 360183 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 142626132 is about 11942.6183058825. The cubic root of 142626132 is about 522.4760267688.

The spelling of 142626132 in words is "one hundred forty-two million, six hundred twenty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 360167 720334 1080501 1440668 2161002 3241503 3961837 4322004 6483006 7923674 11885511 12966012 15847348 23771022 35656533 47542044 71313066 142626132