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141680032 = 2513340577
BaseRepresentation
bin10000111000111…
…01110110100000
3100212121002110121
420130131312200
5242232230112
622020410024
73340155214
oct1034356640
9325532417
10141680032
1172a7a33a
123b546914
1323477c50
1414b60944
15c689407
hex871dda0

141680032 has 24 divisors (see below), whose sum is σ = 300389796. Its totient is φ = 65390592.

The previous prime is 141680029. The next prime is 141680041. The reversal of 141680032 is 230086141.

It can be written as a sum of positive squares in 2 ways, for example, as 101687056 + 39992976 = 10084^2 + 6324^2 .

It is a junction number, because it is equal to n+sod(n) for n = 141679979 and 141680006.

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, 169873 + ... + 170704.

Almost surely, 2141680032 is an apocalyptic number.

It is an amenable number.

141680032 is an abundant number, since it is smaller than the sum of its proper divisors (158709764).

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

141680032 is a wasteful number, since it uses less digits than its factorization.

141680032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340600 (or 340592 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 141680032 is about 11902.9421572988. The cubic root of 141680032 is about 521.3181940312.

The spelling of 141680032 in words is "one hundred forty-one million, six hundred eighty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 340577 681154 1362308 2724616 4427501 5449232 8855002 10898464 17710004 35420008 70840016 141680032