Search a number
-
+
3107872 = 251729197
BaseRepresentation
bin1011110110110000100000
312211220012101
423312300200
51243422442
6150340144
735262565
oct13666040
95756171
103107872
111832a99
12105a654
1384a7a1
145ac86c
15415cb7
hex2f6c20

3107872 has 48 divisors (see below), whose sum is σ = 6735960. Its totient is φ = 1404928.

The previous prime is 3107869. The next prime is 3107873. The reversal of 3107872 is 2787013.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3083536 + 24336 = 1756^2 + 156^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3107872.

It is not an unprimeable number, because it can be changed into a prime (3107873) 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, 15678 + ... + 15874.

Almost surely, 23107872 is an apocalyptic number.

3107872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3107872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367980).

3107872 is an abundant number, since it is smaller than the sum of its proper divisors (3628088).

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

3107872 is a wasteful number, since it uses less digits than its factorization.

3107872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 3107872 is about 1762.9157665640. The cubic root of 3107872 is about 145.9332903471.

The spelling of 3107872 in words is "three million, one hundred seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 116 136 197 232 272 394 464 493 544 788 928 986 1576 1972 3152 3349 3944 5713 6304 6698 7888 11426 13396 15776 22852 26792 45704 53584 91408 97121 107168 182816 194242 388484 776968 1553936 3107872