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140365008 = 24337219349
BaseRepresentation
bin10000101110111…
…00110011010000
3100210010021121000
420113130303100
5241413140013
621532302000
73323040300
oct1027346320
9323107530
10140365008
1172261343
123b011900
1323107524
14148db600
15c4c9973
hex85dccd0

140365008 has 240 divisors, whose sum is σ = 494760000. Its totient is φ = 37884672.

The previous prime is 140364977. The next prime is 140365037. The reversal of 140365008 is 800563041.

140365008 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 650 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 402018 + ... + 402366.

It is an arithmetic number, because the mean of its divisors is an integer number (2061500).

Almost surely, 2140365008 is an apocalyptic number.

140365008 is a gapful number since it is divisible by the number (18) 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 140365008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247380000).

140365008 is an abundant number, since it is smaller than the sum of its proper divisors (354394992).

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

140365008 is a wasteful number, since it uses less digits than its factorization.

140365008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 140365008 is about 11847.5739288683. The cubic root of 140365008 is about 519.7002809292.

It can be divided in two parts, 14036 and 5008, that added together give a square (19044 = 1382).

The spelling of 140365008 in words is "one hundred forty million, three hundred sixty-five thousand, eight".