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141469540 = 225291491637
BaseRepresentation
bin10000110111010…
…10011101100100
3100212012101201121
420123222131210
5242204011130
622012103324
73335320432
oct1033523544
9325171647
10141469540
1172946183
123b464b44
13234031b4
1414b07d52
15c646d7a
hex86ea764

141469540 has 48 divisors (see below), whose sum is σ = 309582000. Its totient is φ = 54236672.

The previous prime is 141469513. The next prime is 141469543. The reversal of 141469540 is 45964141.

It is a happy number.

141469540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 42745444 + 98724096 = 6538^2 + 9936^2 .

It is a junction number, because it is equal to n+sod(n) for n = 141469496 and 141469505.

It is not an unprimeable number, because it can be changed into a prime (141469543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85602 + ... + 87238.

It is an arithmetic number, because the mean of its divisors is an integer number (6449625).

Almost surely, 2141469540 is an apocalyptic number.

141469540 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 141469540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154791000).

141469540 is an abundant number, since it is smaller than the sum of its proper divisors (168112460).

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

141469540 is a wasteful number, since it uses less digits than its factorization.

141469540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 141469540 is about 11894.0968551631. The cubic root of 141469540 is about 521.0598944065.

The spelling of 141469540 in words is "one hundred forty-one million, four hundred sixty-nine thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 149 290 298 580 596 745 1490 1637 2980 3274 4321 6548 8185 8642 16370 17284 21605 32740 43210 47473 86420 94946 189892 237365 243913 474730 487826 949460 975652 1219565 2439130 4878260 7073477 14146954 28293908 35367385 70734770 141469540