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142745328 = 243411171931
BaseRepresentation
bin10001000001000…
…01111011110000
3100221121012210000
420200201323300
5243020322303
622055310000
73352213065
oct1040417360
9327535700
10142745328
1173637750
123b97b300
132375babb
1414d5ac6c
15c7e9da3
hex8821ef0

142745328 has 400 divisors, whose sum is σ = 518538240. Its totient is φ = 37324800.

The previous prime is 142745303. The next prime is 142745341. The reversal of 142745328 is 823547241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142745292 and 142745301.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 4604673 + ... + 4604703.

Almost surely, 2142745328 is an apocalyptic number.

142745328 is a gapful number since it is divisible by the number (18) 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 142745328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259269120).

142745328 is an abundant number, since it is smaller than the sum of its proper divisors (375792912).

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

142745328 is a wasteful number, since it uses less digits than its factorization.

142745328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 83 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 142745328 is about 11947.6076266339. The cubic root of 142745328 is about 522.6215347270.

The spelling of 142745328 in words is "one hundred forty-two million, seven hundred forty-five thousand, three hundred twenty-eight".