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142410240 = 293257883
BaseRepresentation
bin10000111110100…
…00001000000000
3100220222012010100
420133100020000
5242424111430
622044202400
73346316130
oct1037201000
9326865110
10142410240
1173428a15
123b839400
132367241b
1414cb0ac0
15c780960
hex87d0200

142410240 has 240 divisors, whose sum is σ = 564303168. Its totient is φ = 32514048.

The previous prime is 142410223. The next prime is 142410251. The reversal of 142410240 is 42014241.

142410240 is a `hidden beast` number, since 1 + 424 + 1 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160839 + ... + 161721.

Almost surely, 2142410240 is an apocalyptic number.

142410240 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 142410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282151584).

142410240 is an abundant number, since it is smaller than the sum of its proper divisors (421892928).

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

142410240 is an equidigital number, since it uses as much as digits as its factorization.

142410240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 142410240 is about 11933.5761614028. The cubic root of 142410240 is about 522.2122710912.

Adding to 142410240 its reverse (42014241), we get a palindrome (184424481).

It can be divided in two parts, 1424 and 10240, that added together give a square (11664 = 1082).

The spelling of 142410240 in words is "one hundred forty-two million, four hundred ten thousand, two hundred forty".