[go: up one dir, main page]

Search a number
-
+
5703120 = 24325892
BaseRepresentation
bin10101110000010111010000
3101201202012200
4111300113100
52424444440
6322123200
766322113
oct25602720
911652180
105703120
113245925
121ab0500
131248b37
14a8657a
15779c30
hex5705d0

5703120 has 90 divisors (see below), whose sum is σ = 19370598. Its totient is φ = 1503744.

The previous prime is 5703091. The next prime is 5703127. The reversal of 5703120 is 213075.

It can be written as a sum of positive squares in 3 ways, for example, as 576 + 5702544 = 24^2 + 2388^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5703093 and 5703102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5703127) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 64036 + ... + 64124.

Almost surely, 25703120 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 5703120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9685299).

5703120 is an abundant number, since it is smaller than the sum of its proper divisors (13667478).

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

5703120 is a wasteful number, since it uses less digits than its factorization.

5703120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 5703120 is about 2388.1205999698. The cubic root of 5703120 is about 178.6641852580.

Adding to 5703120 its reverse (213075), we get a palindrome (5916195).

The spelling of 5703120 in words is "five million, seven hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 89 90 120 144 178 180 240 267 356 360 445 534 712 720 801 890 1068 1335 1424 1602 1780 2136 2670 3204 3560 4005 4272 5340 6408 7120 7921 8010 10680 12816 15842 16020 21360 23763 31684 32040 39605 47526 63368 64080 71289 79210 95052 118815 126736 142578 158420 190104 237630 285156 316840 356445 380208 475260 570312 633680 712890 950520 1140624 1425780 1901040 2851560 5703120