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140371200 = 2832522437
BaseRepresentation
bin10000101110111…
…10010100000000
3100210010121002100
420113132110000
5241413334300
621532350400
73323064324
oct1027362400
9323117070
10140371200
1172265a62
123b015400
132310a2a8
14148dd984
15c4cb700
hex85de500

140371200 has 162 divisors, whose sum is σ = 502064654. Its totient is φ = 37416960.

The previous prime is 140371163. The next prime is 140371213. The reversal of 140371200 is 2173041.

It can be written as a sum of positive squares in 3 ways, for example, as 34857216 + 105513984 = 5904^2 + 10272^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 56382 + ... + 58818.

Almost surely, 2140371200 is an apocalyptic number.

140371200 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 140371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251032327).

140371200 is an abundant number, since it is smaller than the sum of its proper divisors (361693454).

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

140371200 is a wasteful number, since it uses less digits than its factorization.

140371200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 140371200 is about 11847.8352453096. The cubic root of 140371200 is about 519.7079227597.

The spelling of 140371200 in words is "one hundred forty million, three hundred seventy-one thousand, two hundred".