Search a number
-
+
1613128 = 231123797
BaseRepresentation
bin110001001110101001000
310000221210111
412021311020
5403110003
654324104
716465666
oct6116510
93027714
101613128
11a01a70
12659634
1344631a
142ddc36
1521ce6d
hex189d48

1613128 has 32 divisors (see below), whose sum is σ = 3447360. Its totient is φ = 700480.

The previous prime is 1613123. The next prime is 1613141. The reversal of 1613128 is 8213161.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1613099 and 1613108.

It is not an unprimeable number, because it can be changed into a prime (1613123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1626 + ... + 2422.

It is an arithmetic number, because the mean of its divisors is an integer number (107730).

21613128 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 1613128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723680).

1613128 is an abundant number, since it is smaller than the sum of its proper divisors (1834232).

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

1613128 is a wasteful number, since it uses less digits than its factorization.

1613128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 833 counting only the distinct ones).

The product of its digits is 288, while the sum is 22.

The square root of 1613128 is about 1270.0897606075. The cubic root of 1613128 is about 117.2797261430.

Adding to 1613128 its reverse (8213161), we get a palindrome (9826289).

It can be divided in two parts, 161312 and 8, that multiplied together give a square (1290496 = 11362).

The spelling of 1613128 in words is "one million, six hundred thirteen thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 797 1012 1594 2024 3188 6376 8767 17534 18331 35068 36662 70136 73324 146648 201641 403282 806564 1613128