Search a number
-
+
141162840 = 2332571331139
BaseRepresentation
bin10000110100111…
…11100101011000
3100211121211000100
420122133211120
5242114202330
622001335400
73332602320
oct1032374530
9324554010
10141162840
1172756805
123b337560
1323326710
1414a68280
15c5d6060
hex869f958

141162840 has 384 divisors, whose sum is σ = 587059200. Its totient is φ = 28615680.

The previous prime is 141162829. The next prime is 141162863. The reversal of 141162840 is 48261141.

It is a happy number.

141162840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1015491 + ... + 1015629.

It is an arithmetic number, because the mean of its divisors is an integer number (1528800).

Almost surely, 2141162840 is an apocalyptic number.

141162840 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 141162840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293529600).

141162840 is an abundant number, since it is smaller than the sum of its proper divisors (445896360).

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

141162840 is a wasteful number, since it uses less digits than its factorization.

141162840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 141162840 is about 11881.1969094027. The cubic root of 141162840 is about 520.6830766704.

The spelling of 141162840 in words is "one hundred forty-one million, one hundred sixty-two thousand, eight hundred forty".