Search a number
-
+
3115904 = 27112213
BaseRepresentation
bin1011111000101110000000
312212022012212
423320232000
51244202104
6150441252
735325161
oct13705600
95768185
103115904
111839030
121063228
1385133c
145b1768
1541836e
hex2f8b80

3115904 has 32 divisors (see below), whose sum is σ = 6774840. Its totient is φ = 1415680.

The previous prime is 3115897. The next prime is 3115907. The reversal of 3115904 is 4095113.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3115904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3115907) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 302 + ... + 2514.

Almost surely, 23115904 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 3115904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3387420).

3115904 is an abundant number, since it is smaller than the sum of its proper divisors (3658936).

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

3115904 is a wasteful number, since it uses less digits than its factorization.

3115904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 3115904 is about 1765.1923407946. The cubic root of 3115904 is about 146.0588991106.

The spelling of 3115904 in words is "three million, one hundred fifteen thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 2213 4426 8852 17704 24343 35408 48686 70816 97372 141632 194744 283264 389488 778976 1557952 3115904