Search a number
-
+
6046590 = 2351173251
BaseRepresentation
bin10111000100001101111110
3102101012100210
4113010031332
53021442330
6333333250
7102252354
oct27041576
912335323
106046590
11345a990
122037226
131339284
14b357d4
157e68b0
hex5c437e

6046590 has 64 divisors (see below), whose sum is σ = 16111872. Its totient is φ = 1440000.

The previous prime is 6046561. The next prime is 6046591. The reversal of 6046590 is 956406.

It is a super-2 number, since 2×60465902 = 73122501256200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6046591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23965 + ... + 24215.

It is an arithmetic number, because the mean of its divisors is an integer number (251748).

Almost surely, 26046590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6046590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8055936).

6046590 is an abundant number, since it is smaller than the sum of its proper divisors (10065282).

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

6046590 is a wasteful number, since it uses less digits than its factorization.

6046590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 6046590 is about 2458.9814964737. The cubic root of 6046590 is about 182.1811785135.

The spelling of 6046590 in words is "six million, forty-six thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 73 110 146 165 219 251 330 365 438 502 730 753 803 1095 1255 1506 1606 2190 2409 2510 2761 3765 4015 4818 5522 7530 8030 8283 12045 13805 16566 18323 24090 27610 36646 41415 54969 82830 91615 109938 183230 201553 274845 403106 549690 604659 1007765 1209318 2015530 3023295 6046590