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142684080 = 243572111103
BaseRepresentation
bin10001000000100…
…10111110110000
3100221111002202120
420200102332300
5243011342310
622054114240
73351536400
oct1040227660
9327432676
10142684080
11735a5730
123b94b980
1323739c66
1414d42800
15c7d6b70
hex8812fb0

142684080 has 240 divisors, whose sum is σ = 561821184. Its totient is φ = 29621760.

The previous prime is 142684079. The next prime is 142684081. The reversal of 142684080 is 80486241.

142684080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (142684079) and next prime (142684081).

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 (33).

It is not an unprimeable number, because it can be changed into a prime (142684081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128809 + ... + 129911.

Almost surely, 2142684080 is an apocalyptic number.

142684080 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 142684080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280910592).

142684080 is an abundant number, since it is smaller than the sum of its proper divisors (419137104).

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

142684080 is a wasteful number, since it uses less digits than its factorization.

142684080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 142684080 is about 11945.0441606551. The cubic root of 142684080 is about 522.5467766399.

The spelling of 142684080 in words is "one hundred forty-two million, six hundred eighty-four thousand, eighty".