Search a number
-
+
3106240 = 26517571
BaseRepresentation
bin1011110110010111000000
312211210221221
423312113000
51243344430
6150324424
735255044
oct13662700
95753857
103106240
111831845
121059714
13849b17
145ac024
1541557a
hex2f65c0

3106240 has 56 divisors (see below), whose sum is σ = 7845552. Its totient is φ = 1167360.

The previous prime is 3106237. The next prime is 3106273. The reversal of 3106240 is 426013.

3106240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 5155 + ... + 5725.

Almost surely, 23106240 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 3106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3922776).

3106240 is an abundant number, since it is smaller than the sum of its proper divisors (4739312).

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

3106240 is a wasteful number, since it uses less digits than its factorization.

3106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3106240 is about 1762.4528362484. The cubic root of 3106240 is about 145.9077418014.

The spelling of 3106240 in words is "three million, one hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 571 680 1088 1142 1360 2284 2720 2855 4568 5440 5710 9136 9707 11420 18272 19414 22840 36544 38828 45680 48535 77656 91360 97070 155312 182720 194140 310624 388280 621248 776560 1553120 3106240