Search a number
-
+
5709900 = 2235272719
BaseRepresentation
bin10101110010000001001100
3101202002111210
4111302001030
52430204100
6322214420
766350640
oct25620114
911662453
105709900
11324aa29
121ab4410
13124bc51
14a88c20
1577bc50
hex57204c

5709900 has 72 divisors (see below), whose sum is σ = 18887680. Its totient is φ = 1304640.

The previous prime is 5709887. The next prime is 5709901. The reversal of 5709900 is 99075.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (5709901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 741 + ... + 3459.

Almost surely, 25709900 is an apocalyptic number.

5709900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5709900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9443840).

5709900 is an abundant number, since it is smaller than the sum of its proper divisors (13177780).

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

5709900 is a wasteful number, since it uses less digits than its factorization.

5709900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 30.

The square root of 5709900 is about 2389.5397046293. The cubic root of 5709900 is about 178.7349572488.

The spelling of 5709900 in words is "five million, seven hundred nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 2719 5438 8157 10876 13595 16314 19033 27190 32628 38066 40785 54380 57099 67975 76132 81570 95165 114198 135950 163140 190330 203925 228396 271900 285495 380660 407850 475825 570990 815700 951650 1141980 1427475 1903300 2854950 5709900