Search a number
-
+
141479400 = 233522947173
BaseRepresentation
bin10000110111011…
…00110111101000
3100212012220020210
420123230313220
5242204320100
622012221120
73335361246
oct1033546750
9325186223
10141479400
1172952627
123b46a7a0
132340782a
1414b0b796
15c649c50
hex86ecde8

141479400 has 192 divisors, whose sum is σ = 466041600. Its totient is φ = 35445760.

The previous prime is 141479383. The next prime is 141479467. The reversal of 141479400 is 4974141.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 817714 + ... + 817886.

It is an arithmetic number, because the mean of its divisors is an integer number (2427300).

Almost surely, 2141479400 is an apocalyptic number.

141479400 is a gapful number since it is divisible by the number (10) 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 141479400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233020800).

141479400 is an abundant number, since it is smaller than the sum of its proper divisors (324562200).

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

141479400 is a wasteful number, since it uses less digits than its factorization.

141479400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 141479400 is about 11894.5113392690. The cubic root of 141479400 is about 521.0719995593.

The spelling of 141479400 in words is "one hundred forty-one million, four hundred seventy-nine thousand, four hundred".