Search a number
-
+
5359770 = 234513509
BaseRepresentation
bin10100011100100010011010
3101002022020000
4110130202122
52333003040
6310513430
763362103
oct24344232
911068200
105359770
113030969
121965876
131158780
149d73aa
1570d130
hex51c89a

5359770 has 80 divisors (see below), whose sum is σ = 15550920. Its totient is φ = 1316736.

The previous prime is 5359769. The next prime is 5359771. The reversal of 5359770 is 779535.

It is an interprime number because it is at equal distance from previous prime (5359769) and next prime (5359771).

It can be written as a sum of positive squares in 4 ways, for example, as 4173849 + 1185921 = 2043^2 + 1089^2 .

It is not an unprimeable number, because it can be changed into a prime (5359771) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10276 + ... + 10784.

Almost surely, 25359770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5359770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7775460).

5359770 is an abundant number, since it is smaller than the sum of its proper divisors (10191150).

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

5359770 is a wasteful number, since it uses less digits than its factorization.

5359770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 33075, while the sum is 36.

The square root of 5359770 is about 2315.1177075907. The cubic root of 5359770 is about 175.0042992141.

The spelling of 5359770 in words is "five million, three hundred fifty-nine thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 509 585 702 810 1018 1053 1170 1527 1755 2106 2545 3054 3510 4581 5090 5265 6617 7635 9162 10530 13234 13743 15270 19851 22905 27486 33085 39702 41229 45810 59553 66170 68715 82458 99255 119106 137430 178659 198510 206145 297765 357318 412290 535977 595530 893295 1071954 1786590 2679885 5359770