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142657540 = 225172411741
BaseRepresentation
bin10001000000011…
…00100000000100
3100221102202100121
420200030200010
5243010020130
622053351324
73351366124
oct1040144004
9327382317
10142657540
11735877a3
123b938544
132372ab5c
1414d36c84
15c7cdd7a
hex880c804

142657540 has 48 divisors (see below), whose sum is σ = 318702384. Its totient is φ = 53452800.

The previous prime is 142657519. The next prime is 142657547. The reversal of 142657540 is 45756241.

142657540 is digitally balanced in base 3, 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 3936256 + 138721284 = 1984^2 + 11778^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 142657496 and 142657505.

It is not an unprimeable number, because it can be changed into a prime (142657547) 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, 81070 + ... + 82810.

It is an arithmetic number, because the mean of its divisors is an integer number (6639633).

Almost surely, 2142657540 is an apocalyptic number.

142657540 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 142657540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159351192).

142657540 is an abundant number, since it is smaller than the sum of its proper divisors (176044844).

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

142657540 is a wasteful number, since it uses less digits than its factorization.

142657540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 142657540 is about 11943.9331880248. The cubic root of 142657540 is about 522.5143758016.

The spelling of 142657540 in words is "one hundred forty-two million, six hundred fifty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 241 340 482 964 1205 1741 2410 3482 4097 4820 6964 8194 8705 16388 17410 20485 29597 34820 40970 59194 81940 118388 147985 295970 419581 591940 839162 1678324 2097905 4195810 7132877 8391620 14265754 28531508 35664385 71328770 142657540