Search a number
-
+
3101896 = 237241193
BaseRepresentation
bin1011110101010011001000
312211121000001
423311103020
51243230041
6150252344
735236300
oct13652310
95747001
103101896
111829556
1210570b4
13847b55
145aa600
15414131
hex2f54c8

3101896 has 48 divisors (see below), whose sum is σ = 6966540. Its totient is φ = 1290240.

The previous prime is 3101881. The next prime is 3101897. The reversal of 3101896 is 6981013.

It is a happy number.

3101896 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2592100 + 509796 = 1610^2 + 714^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (3101897) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 15976 + ... + 16168.

Almost surely, 23101896 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 3101896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483270).

3101896 is an abundant number, since it is smaller than the sum of its proper divisors (3864644).

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

3101896 is a wasteful number, since it uses less digits than its factorization.

3101896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 3101896 is about 1761.2200316826. The cubic root of 3101896 is about 145.8396939448.

The spelling of 3101896 in words is "three million, one hundred one thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 41 49 56 82 98 164 193 196 287 328 386 392 574 772 1148 1351 1544 2009 2296 2702 4018 5404 7913 8036 9457 10808 15826 16072 18914 31652 37828 55391 63304 75656 110782 221564 387737 443128 775474 1550948 3101896