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16958029 = 112269521
BaseRepresentation
bin100000010110…
…0001001001101
31011220120001011
41000230021031
513320124104
61403245221
7264066214
oct100541115
934816034
1016958029
119632900
125819811
13368994a
14237607b
15174e904
hex102c24d

16958029 has 12 divisors (see below), whose sum is σ = 18745020. Its totient is φ = 15329600.

The previous prime is 16958017. The next prime is 16958057. The reversal of 16958029 is 92085961.

It can be written as a sum of positive squares in 2 ways, for example, as 2722500 + 14235529 = 1650^2 + 3773^2 .

It is not a de Polignac number, because 16958029 - 213 = 16949837 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16957982 and 16958000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16958009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32289 + ... + 32809.

It is an arithmetic number, because the mean of its divisors is an integer number (1562085).

Almost surely, 216958029 is an apocalyptic number.

It is an amenable number.

16958029 is a deficient number, since it is larger than the sum of its proper divisors (1786991).

16958029 is a wasteful number, since it uses less digits than its factorization.

16958029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 16958029 is about 4118.0127488875. The cubic root of 16958029 is about 256.9163782914.

The spelling of 16958029 in words is "sixteen million, nine hundred fifty-eight thousand, twenty-nine".

Divisors: 1 11 121 269 521 2959 5731 32549 63041 140149 1541639 16958029