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906436141 = 131723178327
BaseRepresentation
bin110110000001110…
…001111000101101
32100011121201121221
4312001301320231
53324021424031
6225540023341
731314402652
oct6601617055
92304551557
10906436141
11425728986
12213691b51
13115a3b060
1488553c29
155489da11
hex36071e2d

906436141 has 16 divisors (see below), whose sum is σ = 1078527744. Its totient is φ = 753249024.

The previous prime is 906436133. The next prime is 906436147. The reversal of 906436141 is 141634609.

906436141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 906436141 - 23 = 906436133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 906436097 and 906436106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906436147) 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, 84081 + ... + 94246.

It is an arithmetic number, because the mean of its divisors is an integer number (67407984).

Almost surely, 2906436141 is an apocalyptic number.

It is an amenable number.

906436141 is a deficient number, since it is larger than the sum of its proper divisors (172091603).

906436141 is a wasteful number, since it uses less digits than its factorization.

906436141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178380.

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 906436141 is about 30107.0779219771. The cubic root of 906436141 is about 967.7854111476.

The spelling of 906436141 in words is "nine hundred six million, four hundred thirty-six thousand, one hundred forty-one".

Divisors: 1 13 17 23 221 299 391 5083 178327 2318251 3031559 4101521 39410267 53319773 69725857 906436141