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101677264 = 2413488833
BaseRepresentation
bin1100000111101…
…11100011010000
321002022201222121
412003313203100
5202012133024
614031144024
72343146113
oct603674320
9232281877
10101677264
11524376a7
122a075014
13180b0080
14d70a57a
158dd68e4
hex60f78d0

101677264 has 20 divisors (see below), whose sum is σ = 212153956. Its totient is φ = 46927872.

The previous prime is 101677231. The next prime is 101677283. The reversal of 101677264 is 462776101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 42510400 + 59166864 = 6520^2 + 7692^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 244209 + ... + 244624.

Almost surely, 2101677264 is an apocalyptic number.

It is an amenable number.

101677264 is an abundant number, since it is smaller than the sum of its proper divisors (110476692).

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

101677264 is a wasteful number, since it uses less digits than its factorization.

101677264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488854 (or 488848 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 101677264 is about 10083.5144666927. The cubic root of 101677264 is about 466.7395650291.

The spelling of 101677264 in words is "one hundred one million, six hundred seventy-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 488833 977666 1955332 3910664 6354829 7821328 12709658 25419316 50838632 101677264