Search a number
-
+
141486240 = 25357172477
BaseRepresentation
bin10000110111011…
…10100010100000
3100212020020122010
420123232202200
5242210024430
622012312520
73335420220
oct1033564240
9325206563
10141486240
1172957785
123b472740
132340a98c
1414b10080
15c64bcb0
hex86ee8a0

141486240 has 192 divisors, whose sum is σ = 539529984. Its totient is φ = 30425088.

The previous prime is 141486229. The next prime is 141486253. The reversal of 141486240 is 42684141.

It is a super-2 number, since 2×1414862402 = 40036712218675200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 141486198 and 141486207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55882 + ... + 58358.

It is an arithmetic number, because the mean of its divisors is an integer number (2810052).

Almost surely, 2141486240 is an apocalyptic number.

141486240 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 141486240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269764992).

141486240 is an abundant number, since it is smaller than the sum of its proper divisors (398043744).

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

141486240 is a wasteful number, since it uses less digits than its factorization.

141486240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2519 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 141486240 is about 11894.7988633688. The cubic root of 141486240 is about 521.0803967183.

The spelling of 141486240 in words is "one hundred forty-one million, four hundred eighty-six thousand, two hundred forty".