Search a number
-
+
5370120 = 2332572131
BaseRepresentation
bin10100011111000100001000
3101002211102100
4110133010020
52333320440
6311033400
763434220
oct24370410
911084370
105370120
113038718
12196b860
1311603b2
149db080
15711230
hex51f108

5370120 has 96 divisors (see below), whose sum is σ = 19955520. Its totient is φ = 1226880.

The previous prime is 5370107. The next prime is 5370137. The reversal of 5370120 is 210735.

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 = 5370093 and 5370102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1455 + ... + 3585.

It is an arithmetic number, because the mean of its divisors is an integer number (207870).

Almost surely, 25370120 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 5370120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9977760).

5370120 is an abundant number, since it is smaller than the sum of its proper divisors (14585400).

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

5370120 is a wasteful number, since it uses less digits than its factorization.

5370120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2148 counting only the distinct ones).

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

The square root of 5370120 is about 2317.3519370178. The cubic root of 5370120 is about 175.1168743087.

Adding to 5370120 its reverse (210735), we get a palindrome (5580855).

The spelling of 5370120 in words is "five million, three hundred seventy thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2131 2520 4262 6393 8524 10655 12786 14917 17048 19179 21310 25572 29834 31965 38358 42620 44751 51144 59668 63930 74585 76716 85240 89502 95895 119336 127860 134253 149170 153432 179004 191790 223755 255720 268506 298340 358008 383580 447510 537012 596680 671265 767160 895020 1074024 1342530 1790040 2685060 5370120