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140382000 = 24325311709
BaseRepresentation
bin10000101111000…
…00111100110000
3100210011010220100
420113200330300
5241414211000
621532512400
73323140653
oct1027407460
9323133810
10140382000
1172273090
123b01b700
1323112195
141490389a
15c4cea00
hex85e0f30

140382000 has 240 divisors, whose sum is σ = 535635360. Its totient is φ = 33984000.

The previous prime is 140381999. The next prime is 140382007. The reversal of 140382000 is 283041.

It is a happy number.

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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140382007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197646 + ... + 198354.

It is an arithmetic number, because the mean of its divisors is an integer number (2231814).

Almost surely, 2140382000 is an apocalyptic number.

140382000 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 140382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267817680).

140382000 is an abundant number, since it is smaller than the sum of its proper divisors (395253360).

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

140382000 is a wasteful number, since it uses less digits than its factorization.

140382000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 140382000 is about 11848.2910160073. The cubic root of 140382000 is about 519.7212509962.

The spelling of 140382000 in words is "one hundred forty million, three hundred eighty-two thousand".