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142435540 = 225132632083
BaseRepresentation
bin10000111110101…
…10010011010100
3100221000110211101
420133112103110
5242430414130
622044515444
73346452652
oct1037262324
9327013741
10142435540
1173445a25
123b84bb84
1323680ab0
1414cb9dd2
15c7881ca
hex87d64d4

142435540 has 48 divisors (see below), whose sum is σ = 323503488. Its totient is φ = 52366464.

The previous prime is 142435523. The next prime is 142435547. The reversal of 142435540 is 45534241.

142435540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 142435499 and 142435508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142435547) 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, 67339 + ... + 69421.

It is an arithmetic number, because the mean of its divisors is an integer number (6739656).

Almost surely, 2142435540 is an apocalyptic number.

142435540 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 142435540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161751744).

142435540 is an abundant number, since it is smaller than the sum of its proper divisors (181067948).

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

142435540 is a wasteful number, since it uses less digits than its factorization.

142435540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 142435540 is about 11934.6361486222. The cubic root of 142435540 is about 522.2431939334.

Adding to 142435540 its reverse (45534241), we get a palindrome (187969781).

The spelling of 142435540 in words is "one hundred forty-two million, four hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 263 526 1052 1315 2083 2630 3419 4166 5260 6838 8332 10415 13676 17095 20830 27079 34190 41660 54158 68380 108316 135395 270790 541580 547829 1095658 2191316 2739145 5478290 7121777 10956580 14243554 28487108 35608885 71217770 142435540