Search a number
-
+
5743668 = 2237101677
BaseRepresentation
bin10101111010010000110100
3101210210211110
4111322100310
52432244133
6323035020
766551250
oct25722064
911723743
105743668
113273337
121b0ba70
131261428
14a97260
15786c63
hex57a434

5743668 has 48 divisors (see below), whose sum is σ = 15490944. Its totient is φ = 1622400.

The previous prime is 5743667. The next prime is 5743691. The reversal of 5743668 is 8663475.

It is a super-3 number, since 3×57436683 (a number of 21 digits) contains 333 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5743667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8146 + ... + 8822.

It is an arithmetic number, because the mean of its divisors is an integer number (322728).

Almost surely, 25743668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5743668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7745472).

5743668 is an abundant number, since it is smaller than the sum of its proper divisors (9747276).

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

5743668 is a wasteful number, since it uses less digits than its factorization.

5743668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 790 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 5743668 is about 2396.5950846983. The cubic root of 5743668 is about 179.0866074861.

The spelling of 5743668 in words is "five million, seven hundred forty-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 202 303 404 606 677 707 1212 1354 1414 2031 2121 2708 2828 4062 4242 4739 8124 8484 9478 14217 18956 28434 56868 68377 136754 205131 273508 410262 478639 820524 957278 1435917 1914556 2871834 5743668