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140765040 = 2435513557
BaseRepresentation
bin10000110001111…
…10011101110000
3100210212121100000
420120332131300
5242013440130
621545030000
73326324463
oct1030763560
9323777300
10140765040
1172504949
123b185300
1323217630
14149a32da
15c558260
hex863e770

140765040 has 240 divisors, whose sum is σ = 528903648. Its totient is φ = 34587648.

The previous prime is 140765039. The next prime is 140765081. The reversal of 140765040 is 40567041.

140765040 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 650 + 4 + 0 = 666.

140765040 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 140764995 and 140765013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252442 + ... + 252998.

Almost surely, 2140765040 is an apocalyptic number.

140765040 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 140765040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264451824).

140765040 is an abundant number, since it is smaller than the sum of its proper divisors (388138608).

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

140765040 is a wasteful number, since it uses less digits than its factorization.

140765040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 140765040 is about 11864.4443611996. Note that the first 3 decimals coincide. The cubic root of 140765040 is about 520.1935177171.

The spelling of 140765040 in words is "one hundred forty million, seven hundred sixty-five thousand, forty".