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63140193 = 32174091009
BaseRepresentation
bin1111000011011…
…1000101100001
311101210212001200
43300313011201
5112130441233
610133151413
71364453124
oct360670541
9141725050
1063140193
1132706186
121918b569
131010937c
1485583bb
155823313
hex3c37161

63140193 has 24 divisors (see below), whose sum is σ = 96899400. Its totient is φ = 39481344.

The previous prime is 63140179. The next prime is 63140201. The reversal of 63140193 is 39104136.

63140193 is digitally balanced in base 2, 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 25280784 + 37859409 = 5028^2 + 6153^2 .

It is not a de Polignac number, because 63140193 - 24 = 63140177 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63140293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62073 + ... + 63081.

It is an arithmetic number, because the mean of its divisors is an integer number (4037475).

Almost surely, 263140193 is an apocalyptic number.

It is an amenable number.

63140193 is a deficient number, since it is larger than the sum of its proper divisors (33759207).

63140193 is a wasteful number, since it uses less digits than its factorization.

63140193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 63140193 is about 7946.0803544892. The cubic root of 63140193 is about 398.2006534333.

The spelling of 63140193 in words is "sixty-three million, one hundred forty thousand, one hundred ninety-three".

Divisors: 1 3 9 17 51 153 409 1009 1227 3027 3681 6953 9081 17153 20859 51459 62577 154377 412681 1238043 3714129 7015577 21046731 63140193