[go: up one dir, main page]

Search a number
-
+
5032620 = 2232573383
BaseRepresentation
bin10011001100101010101100
3100110200110100
4103030222230
52242020440
6255511100
760530235
oct23145254
910420410
105032620
11292809a
121828490
1310728a8
1495008c
15696230
hex4ccaac

5032620 has 72 divisors (see below), whose sum is σ = 15515136. Its totient is φ = 1320192.

The previous prime is 5032613. The next prime is 5032649. The reversal of 5032620 is 262305.

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 = 5032593 and 5032602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12949 + ... + 13331.

It is an arithmetic number, because the mean of its divisors is an integer number (215488).

Almost surely, 25032620 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 5032620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7757568).

5032620 is an abundant number, since it is smaller than the sum of its proper divisors (10482516).

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

5032620 is a wasteful number, since it uses less digits than its factorization.

5032620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5032620 is about 2243.3501732899. The cubic root of 5032620 is about 171.3686516776.

Adding to 5032620 its reverse (262305), we get a palindrome (5294925).

The spelling of 5032620 in words is "five million, thirty-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 383 438 657 730 766 876 1095 1149 1314 1460 1532 1915 2190 2298 2628 3285 3447 3830 4380 4596 5745 6570 6894 7660 11490 13140 13788 17235 22980 27959 34470 55918 68940 83877 111836 139795 167754 251631 279590 335508 419385 503262 559180 838770 1006524 1258155 1677540 2516310 5032620