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140827813 = 7217293577
BaseRepresentation
bin10000110010011…
…01110010100101
3100210222210102221
420121031302211
5242022442223
621550232341
73330005500
oct1031156245
9323883387
10140827813
1172548025
123b1b56b1
132323a089
14149bc137
15c56bb5d
hex864dca5

140827813 has 24 divisors (see below), whose sum is σ = 174350232. Its totient is φ = 113025024.

The previous prime is 140827807. The next prime is 140827831. The reversal of 140827813 is 318728041.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 119093569 + 21734244 = 10913^2 + 4662^2 .

It is not a de Polignac number, because 140827813 - 217 = 140696741 is a prime.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140827853) 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, 243781 + ... + 244357.

It is an arithmetic number, because the mean of its divisors is an integer number (7264593).

Almost surely, 2140827813 is an apocalyptic number.

It is an amenable number.

140827813 is a deficient number, since it is larger than the sum of its proper divisors (33522419).

140827813 is a wasteful number, since it uses less digits than its factorization.

140827813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 140827813 is about 11867.0894915308. The cubic root of 140827813 is about 520.2708315515.

The spelling of 140827813 in words is "one hundred forty million, eight hundred twenty-seven thousand, eight hundred thirteen".

Divisors: 1 7 17 49 119 293 577 833 2051 4039 4981 9809 14357 28273 34867 68663 169061 244069 480641 1183427 2874037 8283989 20118259 140827813