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140729984 = 277315061
BaseRepresentation
bin10000110001101…
…01111010000000
3100210210211020122
420120311322000
5242011324414
621544155412
73326120333
oct1030657200
9323724218
10140729984
117249057a
123b168b68
13232046a5
141499461a
15c54cb8e
hex8635e80

140729984 has 32 divisors (see below), whose sum is σ = 284219940. Its totient is φ = 69396480.

The previous prime is 140729977. The next prime is 140729993. The reversal of 140729984 is 489927041.

140729984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 136235584 + 4494400 = 11672^2 + 2120^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 1814 + ... + 16874.

Almost surely, 2140729984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140729984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142109970).

140729984 is an abundant number, since it is smaller than the sum of its proper divisors (143489956).

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

140729984 is an equidigital number, since it uses as much as digits as its factorization.

140729984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15148 (or 15136 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 140729984 is about 11862.9669138879. The cubic root of 140729984 is about 520.1503312887.

The spelling of 140729984 in words is "one hundred forty million, seven hundred twenty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 73 128 146 292 584 1168 2336 4672 9344 15061 30122 60244 120488 240976 481952 963904 1099453 1927808 2198906 4397812 8795624 17591248 35182496 70364992 140729984