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20829347 = 7111571723
BaseRepresentation
bin100111101110…
…1010010100011
31110012020111022
41033131102203
520313014342
62022240055
7342021650
oct117352243
943166438
1020829347
1110837440
126b8602b
134413a76
142aa2c27
151c669d2
hex13dd4a3

20829347 has 16 divisors (see below), whose sum is σ = 26149632. Its totient is φ = 16117920.

The previous prime is 20829317. The next prime is 20829349. The reversal of 20829347 is 74392802.

It is not a de Polignac number, because 20829347 - 210 = 20828323 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20829349) 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, 11228 + ... + 12950.

It is an arithmetic number, because the mean of its divisors is an integer number (1634352).

Almost surely, 220829347 is an apocalyptic number.

20829347 is a deficient number, since it is larger than the sum of its proper divisors (5320285).

20829347 is a wasteful number, since it uses less digits than its factorization.

20829347 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898.

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 20829347 is about 4563.9179440476. The cubic root of 20829347 is about 275.1430528449.

The spelling of 20829347 in words is "twenty million, eight hundred twenty-nine thousand, three hundred forty-seven".

Divisors: 1 7 11 77 157 1099 1723 1727 12061 12089 18953 132671 270511 1893577 2975621 20829347