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140625576 = 23327133127
BaseRepresentation
bin10000110000111…
…00011010101000
3100210121112000200
420120130122220
5242000004301
621542032200
73325204050
oct1030343250
9323545020
10140625576
117241a093
123b118660
1323199000
1414968560
15c52bc86
hex861c6a8

140625576 has 192 divisors, whose sum is σ = 475238400. Its totient is φ = 36796032.

The previous prime is 140625571. The next prime is 140625599. The reversal of 140625576 is 675526041.

It is a happy number.

140625576 is a `hidden beast` number, since 1 + 40 + 62 + 557 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 140625576.

It is not an unprimeable number, because it can be changed into a prime (140625571) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1107225 + ... + 1107351.

It is an arithmetic number, because the mean of its divisors is an integer number (2475200).

Almost surely, 2140625576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140625576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237619200).

140625576 is an abundant number, since it is smaller than the sum of its proper divisors (334612824).

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

140625576 is a wasteful number, since it uses less digits than its factorization.

140625576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 140625576 is about 11858.5655118990. The cubic root of 140625576 is about 520.0216657640.

It can be divided in two parts, 140625 and 576, that multiplied together give a square (81000000 = 90002).

The spelling of 140625576 in words is "one hundred forty million, six hundred twenty-five thousand, five hundred seventy-six".