Search a number
-
+
2333120 = 26523317
BaseRepresentation
bin1000111001100111000000
311101112102212
420321213000
51044124440
6122001252
725555046
oct10714700
94345385
102333120
1113539a9
12946228
13638c5a
1444a396
15311465
hex2399c0

2333120 has 56 divisors (see below), whose sum is σ = 5815584. Its totient is φ = 889856.

The previous prime is 2333119. The next prime is 2333129. The reversal of 2333120 is 213332.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2333095 and 2333104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2333129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7202 + ... + 7518.

22333120 is an apocalyptic number.

2333120 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 2333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2907792).

2333120 is an abundant number, since it is smaller than the sum of its proper divisors (3482464).

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

2333120 is a wasteful number, since it uses less digits than its factorization.

2333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 2333120 is about 1527.4554003309. The cubic root of 2333120 is about 132.6311979232.

Adding to 2333120 its reverse (213332), we get a palindrome (2546452).

The spelling of 2333120 in words is "two million, three hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 317 320 368 460 634 736 920 1268 1472 1585 1840 2536 3170 3680 5072 6340 7291 7360 10144 12680 14582 20288 25360 29164 36455 50720 58328 72910 101440 116656 145820 233312 291640 466624 583280 1166560 2333120