Search a number
-
+
16939395 = 3351121761
BaseRepresentation
bin100000010011…
…1100110000011
31011212121111000
41000213212003
513314030040
61403023043
7263660664
oct100474603
934777430
1016939395
11961a900
12580aa83
133681315
14236d36b
151749130
hex1027983

16939395 has 96 divisors (see below), whose sum is σ = 35622720. Its totient is φ = 7603200.

The previous prime is 16939367. The next prime is 16939399. The reversal of 16939395 is 59393961.

It is not a de Polignac number, because 16939395 - 212 = 16935299 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 16939395.

It is not an unprimeable number, because it can be changed into a prime (16939399) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 277665 + ... + 277725.

It is an arithmetic number, because the mean of its divisors is an integer number (371070).

Almost surely, 216939395 is an apocalyptic number.

16939395 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16939395 is an abundant number, since it is smaller than the sum of its proper divisors (18683325).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16939395 is a wasteful number, since it uses less digits than its factorization.

16939395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 97 counting only the distinct ones).

The product of its digits is 196830, while the sum is 45.

The square root of 16939395 is about 4115.7496279536. The cubic root of 16939395 is about 256.8222412827.

It can be divided in two parts, 1 and 6939395, that added together give a palindrome (6939396).

The spelling of 16939395 in words is "sixteen million, nine hundred thirty-nine thousand, three hundred ninety-five".

Divisors: 1 3 5 9 11 15 17 27 33 45 51 55 61 85 99 121 135 153 165 183 187 255 297 305 363 459 495 549 561 605 671 765 915 935 1037 1089 1485 1647 1683 1815 2013 2057 2295 2745 2805 3111 3267 3355 5049 5185 5445 6039 6171 7381 8235 8415 9333 10065 10285 11407 15555 16335 18117 18513 22143 25245 27999 30195 30855 34221 36905 46665 55539 57035 66429 90585 92565 102663 110715 125477 139995 171105 199287 277695 307989 332145 376431 513315 627385 996435 1129293 1539945 1882155 3387879 5646465 16939395