Search a number
-
+
3149120 = 26513757
BaseRepresentation
bin1100000000110101000000
312220222210002
430000311000
51301232440
6151255132
735524052
oct14006500
95828702
103149120
111860a87
12107a4a8
138634b0
145bd8d2
15423115
hex300d40

3149120 has 56 divisors (see below), whose sum is σ = 8086344. Its totient is φ = 1161216.

The previous prime is 3149077. The next prime is 3149123. The reversal of 3149120 is 219413.

3149120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 107584 + 3041536 = 328^2 + 1744^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3149092 and 3149101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3149123) 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, 3782 + ... + 4538.

It is an arithmetic number, because the mean of its divisors is an integer number (144399).

Almost surely, 23149120 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 3149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043172).

3149120 is an abundant number, since it is smaller than the sum of its proper divisors (4937224).

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

3149120 is a wasteful number, since it uses less digits than its factorization.

3149120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 3149120 is about 1774.5760056983. The cubic root of 3149120 is about 146.5760689334.

The spelling of 3149120 in words is "three million, one hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 757 832 1040 1514 2080 3028 3785 4160 6056 7570 9841 12112 15140 19682 24224 30280 39364 48448 49205 60560 78728 98410 121120 157456 196820 242240 314912 393640 629824 787280 1574560 3149120