Search a number
-
+
2323920 = 243523421
BaseRepresentation
bin1000110111010111010000
311101001211010
420313113100
51043331140
6121450520
725516164
oct10672720
94331733
102323920
111347aa5
12940a40
13634a01
14446ca4
1530d880
hex2375d0

2323920 has 80 divisors (see below), whose sum is σ = 7535232. Its totient is φ = 591360.

The previous prime is 2323907. The next prime is 2323939. The reversal of 2323920 is 293232.

2323920 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 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 15 ways as a sum of consecutive naturals, for example, 5310 + ... + 5730.

22323920 is an apocalyptic number.

2323920 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 2323920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767616).

2323920 is an abundant number, since it is smaller than the sum of its proper divisors (5211312).

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

2323920 is a wasteful number, since it uses less digits than its factorization.

2323920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 2323920 is about 1524.4408811102. The cubic root of 2323920 is about 132.4566370503.

The spelling of 2323920 in words is "two million, three hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 421 460 552 690 842 920 1104 1263 1380 1684 1840 2105 2526 2760 3368 4210 5052 5520 6315 6736 8420 9683 10104 12630 16840 19366 20208 25260 29049 33680 38732 48415 50520 58098 77464 96830 101040 116196 145245 154928 193660 232392 290490 387320 464784 580980 774640 1161960 2323920