Search a number
-
+
141169392 = 2436721319
BaseRepresentation
bin10000110101000…
…01001011110000
3100211122011000000
420122201023300
5242114410032
622001430000
73332630400
oct1032411360
9324564000
10141169392
1172760721
123b33b300
13233296b0
1414a6a800
15c5d7e7c
hex86a12f0

141169392 has 420 divisors, whose sum is σ = 540772680. Its totient is φ = 35271936.

The previous prime is 141169367. The next prime is 141169403. The reversal of 141169392 is 293961141.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (11664) is a multiple of the sum of its prime factors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7429959 + ... + 7429977.

It is an arithmetic number, because the mean of its divisors is an integer number (1287554).

Almost surely, 2141169392 is an apocalyptic number.

141169392 is a gapful number since it is divisible by the number (12) 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 141169392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270386340).

141169392 is an abundant number, since it is smaller than the sum of its proper divisors (399603288).

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

141169392 is a wasteful number, since it uses less digits than its factorization.

141169392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 44 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 141169392 is about 11881.4726359993. The cubic root of 141169392 is about 520.6911322908.

The spelling of 141169392 in words is "one hundred forty-one million, one hundred sixty-nine thousand, three hundred ninety-two".