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142640640 = 2932541151
BaseRepresentation
bin10001000000010…
…00011000000000
3100221101220011200
420200020120000
5243004000030
622053141200
73351265632
oct1040103000
9327356150
10142640640
117357602a
123b92a800
132372325c
1414d30a52
15c7c8d60
hex8808600

142640640 has 240 divisors, whose sum is σ = 509404896. Its totient is φ = 36864000.

The previous prime is 142640627. The next prime is 142640653. The reversal of 142640640 is 46046241.

142640640 is a `hidden beast` number, since 14 + 2 + 6 + 4 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (142640627) and next prime (142640653).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 944565 + ... + 944715.

Almost surely, 2142640640 is an apocalyptic number.

142640640 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 142640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254702448).

142640640 is an abundant number, since it is smaller than the sum of its proper divisors (366764256).

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

142640640 is a wasteful number, since it uses less digits than its factorization.

142640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 142640640 is about 11943.2256949285. The cubic root of 142640640 is about 522.4937416739.

Adding to 142640640 its reverse (46046241), we get a palindrome (188686881).

The spelling of 142640640 in words is "one hundred forty-two million, six hundred forty thousand, six hundred forty".