Search a number
-
+
6987213405 = 325434776829
BaseRepresentation
bin1101000000111100…
…00110101001011101
3200000221200012212200
412200132012221131
5103302211312110
63113200122113
7335102222364
oct64036065135
920027605780
106987213405
112a66110937
121430006339
13874779c03
144a3d8c7db
152ad6406c0
hex1a0786a5d

6987213405 has 48 divisors (see below), whose sum is σ = 12656666880. Its totient is φ = 3562360704.

The previous prime is 6987213383. The next prime is 6987213407. The reversal of 6987213405 is 5043127896.

6987213405 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6987213405 - 212 = 6987209309 is a prime.

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

6987213405 is strictly pandigital in base 10.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6987213407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52531 + ... + 129359.

It is an arithmetic number, because the mean of its divisors is an integer number (263680560).

It is a 1-persistent number, because it is pandigital, but 2⋅6987213405 = 13974426810 is not.

Almost surely, 26987213405 is an apocalyptic number.

It is an amenable number.

6987213405 is a deficient number, since it is larger than the sum of its proper divisors (5669453475).

6987213405 is a wasteful number, since it uses less digits than its factorization.

6987213405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76930 (or 76927 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6987213405 is about 83589.5532049311. The cubic root of 6987213405 is about 1911.7657168346.

The spelling of 6987213405 in words is "six billion, nine hundred eighty-seven million, two hundred thirteen thousand, four hundred five".

Divisors: 1 3 5 9 15 43 45 47 129 141 215 235 387 423 645 705 1935 2021 2115 6063 10105 18189 30315 76829 90945 230487 384145 691461 1152435 3303647 3457305 3610963 9910941 10832889 16518235 18054815 29732823 32498667 49554705 54164445 148664115 155271409 162493335 465814227 776357045 1397442681 2329071135 6987213405