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986140953 = 3375217677
BaseRepresentation
bin111010110001110…
…101000100011001
32112201121011002000
4322301311010121
54004423002303
6241504231213
733303026340
oct7261650431
92481534060
10986140953
11466718326
1223630b509
131293c6c75
1494d80b57
155b894da3
hex3ac75119

986140953 has 16 divisors (see below), whose sum is σ = 1669656960. Its totient is φ = 563509008.

The previous prime is 986140937. The next prime is 986140993. The reversal of 986140953 is 359041689.

It is a happy number.

986140953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 986140953 - 24 = 986140937 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 986140899 and 986140908.

It is not an unprimeable number, because it can be changed into a prime (986140993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2608650 + ... + 2609027.

It is an arithmetic number, because the mean of its divisors is an integer number (104353560).

Almost surely, 2986140953 is an apocalyptic number.

It is an amenable number.

986140953 is a deficient number, since it is larger than the sum of its proper divisors (683516007).

986140953 is a wasteful number, since it uses less digits than its factorization.

986140953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5217693 (or 5217687 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 986140953 is about 31402.8812850031. The cubic root of 986140953 is about 995.3588103500.

The spelling of 986140953 in words is "nine hundred eighty-six million, one hundred forty thousand, nine hundred fifty-three".

Divisors: 1 3 7 9 21 27 63 189 5217677 15653031 36523739 46959093 109571217 140877279 328713651 986140953