Search a number
-
+
3520505214 = 2331714872579
BaseRepresentation
bin1101000111010110…
…1010010101111110
3100002100110012021000
43101311222111332
524202222131324
61341200351130
7153145541412
oct32165522576
910070405230
103520505214
111547262746
128230154a6
134414989a5
142557b8d42
1515910c9c9
hexd1d6a57e

3520505214 has 64 divisors (see below), whose sum is σ = 8292326400. Its totient is φ = 1103301504.

The previous prime is 3520505147. The next prime is 3520505239. The reversal of 3520505214 is 4125050253.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1363777 + ... + 1366355.

It is an arithmetic number, because the mean of its divisors is an integer number (129567600).

Almost surely, 23520505214 is an apocalyptic number.

3520505214 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3520505214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4146163200).

3520505214 is an abundant number, since it is smaller than the sum of its proper divisors (4771821186).

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

3520505214 is a wasteful number, since it uses less digits than its factorization.

3520505214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4094 (or 4088 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 3520505214 is about 59333.8454341196. The cubic root of 3520505214 is about 1521.2537575209.

Adding to 3520505214 its reverse (4125050253), we get a palindrome (7645555467).

The spelling of 3520505214 in words is "three billion, five hundred twenty million, five hundred five thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 1487 2579 2974 4461 5158 7737 8922 13383 15474 23211 25279 26766 40149 43843 46422 50558 69633 75837 80298 87686 131529 139266 151674 227511 263058 394587 455022 682533 789174 1183761 1365066 2367522 3834973 7669946 11504919 23009838 34514757 65194541 69029514 103544271 130389082 195583623 207088542 391167246 586750869 1173501738 1760252607 3520505214