Search a number
-
+
140175360 = 211345132
BaseRepresentation
bin10000101101011…
…10100000000000
3100202202122110000
420112232200000
5241341102420
621524240000
73321320343
oct1026564000
9322678400
10140175360
1172141906
123ab40000
132306c100
141488c45a
15c48d690
hex85ae800

140175360 has 360 divisors, whose sum is σ = 544053510. Its totient is φ = 34504704.

The previous prime is 140175359. The next prime is 140175391. The reversal of 140175360 is 63571041.

It can be written as a sum of positive squares in 3 ways, for example, as 60466176 + 79709184 = 7776^2 + 8928^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1401753602 = 39298263102259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 10782714 + ... + 10782726.

Almost surely, 2140175360 is an apocalyptic number.

140175360 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 140175360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272026755).

140175360 is an abundant number, since it is smaller than the sum of its proper divisors (403878150).

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

140175360 is an equidigital number, since it uses as much as digits as its factorization.

140175360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 140175360 is about 11839.5675596704. The cubic root of 140175360 is about 519.4661187211.

The spelling of 140175360 in words is "one hundred forty million, one hundred seventy-five thousand, three hundred sixty".