Search a number
-
+
2915920 = 245741127
BaseRepresentation
bin1011000111111001010000
312111010220001
423013321100
51221302140
6142255344
733533140
oct13077120
95433801
102915920
111711857
12b87554
137b12c7
1455c920
153c8e9a
hex2c7e50

2915920 has 80 divisors (see below), whose sum is σ = 7999488. Its totient is φ = 967680.

The previous prime is 2915903. The next prime is 2915923. The reversal of 2915920 is 295192.

2915920 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 (80).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2915923) 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 15 ways as a sum of consecutive naturals, for example, 22897 + ... + 23023.

22915920 is an apocalyptic number.

2915920 is a gapful number since it is divisible by the number (20) 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 2915920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3999744).

2915920 is an abundant number, since it is smaller than the sum of its proper divisors (5083568).

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

2915920 is a wasteful number, since it uses less digits than its factorization.

2915920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 2915920 is about 1707.6065120513. The cubic root of 2915920 is about 142.8647881623.

The spelling of 2915920 in words is "two million, nine hundred fifteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 127 140 164 205 254 280 287 328 410 508 560 574 635 656 820 889 1016 1148 1270 1435 1640 1778 2032 2296 2540 2870 3280 3556 4445 4592 5080 5207 5740 7112 8890 10160 10414 11480 14224 17780 20828 22960 26035 35560 36449 41656 52070 71120 72898 83312 104140 145796 182245 208280 291592 364490 416560 583184 728980 1457960 2915920