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140352000 = 293531743
BaseRepresentation
bin10000101110110…
…01101000000000
3100210002121202020
420113121220000
5241412231000
621532121440
73322654335
oct1027315000
9323077666
10140352000
1172252598
123b006280
1323101629
14148d698c
15c4c5ba0
hex85d9a00

140352000 has 320 divisors, whose sum is σ = 505574784. Its totient is φ = 34406400.

The previous prime is 140351987. The next prime is 140352001. The reversal of 140352000 is 253041.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (140352001) 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, 3263979 + ... + 3264021.

Almost surely, 2140352000 is an apocalyptic number.

140352000 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 140352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252787392).

140352000 is an abundant number, since it is smaller than the sum of its proper divisors (365222784).

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

140352000 is an equidigital number, since it uses as much as digits as its factorization.

140352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 140352000 is about 11847.0249429973. The cubic root of 140352000 is about 519.6842264291.

The spelling of 140352000 in words is "one hundred forty million, three hundred fifty-two thousand".