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142035120 = 2434523953
BaseRepresentation
bin10000111011101…
…00100010110000
3100220021010120000
420131310202300
5242330110440
622032150000
73343164363
oct1035644260
9326233500
10142035120
11731a20a7
123b698300
1323570766
1414c140da
15c709730
hex87748b0

142035120 has 200 divisors, whose sum is σ = 515297376. Its totient is φ = 36191232.

The previous prime is 142035107. The next prime is 142035137. The reversal of 142035120 is 21530241.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 142035093 and 142035102.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 148564 + ... + 149516.

Almost surely, 2142035120 is an apocalyptic number.

142035120 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 142035120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257648688).

142035120 is an abundant number, since it is smaller than the sum of its proper divisors (373262256).

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

142035120 is a wasteful number, since it uses less digits than its factorization.

142035120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 142035120 is about 11917.8487991751. The cubic root of 142035120 is about 521.7533515689.

Adding to 142035120 its reverse (21530241), we get a palindrome (163565361).

The spelling of 142035120 in words is "one hundred forty-two million, thirty-five thousand, one hundred twenty".