Search a number
-
+
5751690 = 235761449
BaseRepresentation
bin10101111100001110001010
3101211012211120
4111330032022
52433023230
6323140110
766613530
oct25741612
911735746
105751690
11327936a
121b14636
131264c89
14a9a150
15789310
hex57c38a

5751690 has 64 divisors (see below), whose sum is σ = 16070400. Its totient is φ = 1290240.

The previous prime is 5751677. The next prime is 5751701. The reversal of 5751690 is 961575.

5751690 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×57516902 = 66163875712200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12586 + ... + 13034.

It is an arithmetic number, because the mean of its divisors is an integer number (251100).

Almost surely, 25751690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5751690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8035200).

5751690 is an abundant number, since it is smaller than the sum of its proper divisors (10318710).

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

5751690 is a wasteful number, since it uses less digits than its factorization.

5751690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527.

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 5751690 is about 2398.2681251270. The cubic root of 5751690 is about 179.1699435733.

It can be divided in two parts, 5751 and 690, that added together give a triangular number (6441 = T113).

The spelling of 5751690 in words is "five million, seven hundred fifty-one thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 61 70 105 122 183 210 305 366 427 449 610 854 898 915 1281 1347 1830 2135 2245 2562 2694 3143 4270 4490 6286 6405 6735 9429 12810 13470 15715 18858 27389 31430 47145 54778 82167 94290 136945 164334 191723 273890 383446 410835 575169 821670 958615 1150338 1917230 2875845 5751690