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140575410 = 23251938093
BaseRepresentation
bin10000110000100…
…00001010110010
3100210111222012200
420120100022302
5241441403120
621541004030
73324604563
oct1030201262
9323458180
10140575410
1172395428
123b0b3616
132317c221
141495416a
15c51be90
hex86102b2

140575410 has 48 divisors (see below), whose sum is σ = 367435224. Its totient is φ = 37287936.

The previous prime is 140575399. The next prime is 140575459. The reversal of 140575410 is 14575041.

It is a happy number.

140575410 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 91757241 + 48818169 = 9579^2 + 6987^2 .

It is a super-3 number, since 3×1405754103 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13324 + ... + 21416.

Almost surely, 2140575410 is an apocalyptic number.

140575410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 140575410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183717612).

140575410 is an abundant number, since it is smaller than the sum of its proper divisors (226859814).

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

140575410 is a wasteful number, since it uses less digits than its factorization.

140575410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8299 (or 8296 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 140575410 is about 11856.4501432764. The cubic root of 140575410 is about 519.9598218464.

The spelling of 140575410 in words is "one hundred forty million, five hundred seventy-five thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 193 386 579 965 1158 1737 1930 2895 3474 5790 8093 8685 16186 17370 24279 40465 48558 72837 80930 121395 145674 242790 364185 728370 1561949 3123898 4685847 7809745 9371694 14057541 15619490 23429235 28115082 46858470 70287705 140575410