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16629145 = 51317101149
BaseRepresentation
bin111111011011…
…110110011001
31011021211220021
4333123312121
513224113040
61352230441
7261226321
oct77336631
934254807
1016629145
1194287a5
12569b421
1335a3040
1422cc281
1516d724a
hexfdbd99

16629145 has 32 divisors (see below), whose sum is σ = 23133600. Its totient is φ = 11366400.

The previous prime is 16629127. The next prime is 16629163. The reversal of 16629145 is 54192661.

16629145 = 28832 + 28842.

It is an interprime number because it is at equal distance from previous prime (16629127) and next prime (16629163).

It can be written as a sum of positive squares in 16 ways, for example, as 2968729 + 13660416 = 1723^2 + 3696^2 .

It is not a de Polignac number, because 16629145 - 223 = 8240537 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 16629145.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111531 + ... + 111679.

It is an arithmetic number, because the mean of its divisors is an integer number (722925).

Almost surely, 216629145 is an apocalyptic number.

16629145 is the 2884-th centered square number.

It is an amenable number.

16629145 is a deficient number, since it is larger than the sum of its proper divisors (6504455).

16629145 is a wasteful number, since it uses less digits than its factorization.

16629145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285.

The product of its digits is 12960, while the sum is 34.

The square root of 16629145 is about 4077.8848684091. The cubic root of 16629145 is about 255.2446453880.

The spelling of 16629145 in words is "sixteen million, six hundred twenty-nine thousand, one hundred forty-five".

Divisors: 1 5 13 17 65 85 101 149 221 505 745 1105 1313 1717 1937 2533 6565 8585 9685 12665 15049 22321 32929 75245 111605 164645 195637 255833 978185 1279165 3325829 16629145