Search a number
-
+
141906168 = 233572997
BaseRepresentation
bin10000111010101…
…01000011111000
3100220000120200000
420131111003320
5242311444133
622025313000
73342116415
oct1035250370
9326016600
10141906168
1173114228
123b635760
1323526b61
1414bbd10c
15c6d1413
hex87550f8

141906168 has 48 divisors (see below), whose sum is σ = 398569080. Its totient is φ = 47301408.

The previous prime is 141906161. The next prime is 141906173. The reversal of 141906168 is 861609141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141906161) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 34555 + ... + 38442.

Almost surely, 2141906168 is an apocalyptic number.

141906168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

141906168 is an abundant number, since it is smaller than the sum of its proper divisors (256662912).

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

141906168 is an equidigital number, since it uses as much as digits as its factorization.

141906168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73018 (or 73002 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 141906168 is about 11912.4375339391. The cubic root of 141906168 is about 521.5954058681.

The spelling of 141906168 in words is "one hundred forty-one million, nine hundred six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 72997 145994 218991 291988 437982 583976 656973 875964 1313946 1751928 1970919 2627892 3941838 5255784 5912757 7883676 11825514 15767352 17738271 23651028 35476542 47302056 70953084 141906168