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142598016 = 273311331
BaseRepresentation
bin10000111111111…
…01111110000000
3100221022201201000
420133331332000
5243001114031
622052212000
73351030441
oct1037757600
9327281630
10142598016
1173547000
123b90a000
1323709a32
1414d1d2c8
15c7bb3e6
hex87fdf80

142598016 has 256 divisors, whose sum is σ = 477849600. Its totient is φ = 41817600.

The previous prime is 142598011. The next prime is 142598039. The reversal of 142598016 is 610895241.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142598011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4599921 + ... + 4599951.

It is an arithmetic number, because the mean of its divisors is an integer number (1866600).

Almost surely, 2142598016 is an apocalyptic number.

142598016 is a gapful number since it is divisible by the number (16) 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 142598016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238924800).

142598016 is an abundant number, since it is smaller than the sum of its proper divisors (335251584).

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

142598016 is an equidigital number, since it uses as much as digits as its factorization.

142598016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 142598016 is about 11941.4411190610. The cubic root of 142598016 is about 522.4416924778.

The spelling of 142598016 in words is "one hundred forty-two million, five hundred ninety-eight thousand, sixteen".