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140191800 = 233527291151
BaseRepresentation
bin10000101101100…
…10100000111000
3100202210110222220
420112302200320
5241342114200
621524444040
73321416310
oct1026624070
9322713886
10140191800
11721531a1
123ab49620
1323076738
1414894440
15c4934a0
hex85b2838

140191800 has 192 divisors, whose sum is σ = 514252800. Its totient is φ = 30912000.

The previous prime is 140191787. The next prime is 140191811. The reversal of 140191800 is 8191041.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 121225 + ... + 122375.

It is an arithmetic number, because the mean of its divisors is an integer number (2678400).

Almost surely, 2140191800 is an apocalyptic number.

140191800 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 140191800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257126400).

140191800 is an abundant number, since it is smaller than the sum of its proper divisors (374061000).

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

140191800 is a wasteful number, since it uses less digits than its factorization.

140191800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 140191800 is about 11840.2618214295. The cubic root of 140191800 is about 519.4864258782.

The spelling of 140191800 in words is "one hundred forty million, one hundred ninety-one thousand, eight hundred".