Search a number
-
+
2915120 = 245132803
BaseRepresentation
bin1011000111101100110000
312111002210102
423013230300
51221240440
6142251532
733530615
oct13075460
95432712
102915120
11171119a
12b86ba8
137b0b30
1455c50c
153c8b15
hex2c7b30

2915120 has 40 divisors (see below), whose sum is σ = 7301616. Its totient is φ = 1075968.

The previous prime is 2915111. The next prime is 2915123. The reversal of 2915120 is 215192.

2915120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×29151202 = 16995849228800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2915092 and 2915101.

It is not an unprimeable number, because it can be changed into a prime (2915123) 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 7 ways as a sum of consecutive naturals, for example, 362 + ... + 2441.

22915120 is an apocalyptic number.

2915120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2915120 is an abundant number, since it is smaller than the sum of its proper divisors (4386496).

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

2915120 is a wasteful number, since it uses less digits than its factorization.

2915120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 2915120 is about 1707.3722499795. The cubic root of 2915120 is about 142.8517216990.

The spelling of 2915120 in words is "two million, nine hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 2803 5606 11212 14015 22424 28030 36439 44848 56060 72878 112120 145756 182195 224240 291512 364390 583024 728780 1457560 2915120