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140295120 = 2435737261
BaseRepresentation
bin10000101110010…
…11101111010000
3100202222201201120
420113023233100
5241403420440
621531002240
73322326450
oct1027135720
9322881646
10140295120
1172213889
123ab99380
13230b1784
14148bdd60
15c4b3dd0
hex85cbbd0

140295120 has 240 divisors, whose sum is σ = 519216768. Its totient is φ = 30689280.

The previous prime is 140295109. The next prime is 140295121. The reversal of 140295120 is 21592041.

140295120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140295121) 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, 2299890 + ... + 2299950.

Almost surely, 2140295120 is an apocalyptic number.

140295120 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 140295120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259608384).

140295120 is an abundant number, since it is smaller than the sum of its proper divisors (378921648).

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

140295120 is a wasteful number, since it uses less digits than its factorization.

140295120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 140295120 is about 11844.6240970324. The cubic root of 140295120 is about 519.6140133627.

The spelling of 140295120 in words is "one hundred forty million, two hundred ninety-five thousand, one hundred twenty".