Search a number
-
+
2320920 = 233357307
BaseRepresentation
bin1000110110101000011000
311100220201000
420312220120
51043232140
6121425000
725504350
oct10665030
94326630
102320920
111345818
1293b160
13633534
14445b60
1530ca30
hex236a18

2320920 has 128 divisors (see below), whose sum is σ = 8870400. Its totient is φ = 528768.

The previous prime is 2320909. The next prime is 2320933. The reversal of 2320920 is 290232.

2320920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2320893 and 2320902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7407 + ... + 7713.

It is an arithmetic number, because the mean of its divisors is an integer number (69300).

22320920 is an apocalyptic number.

2320920 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 2320920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435200).

2320920 is an abundant number, since it is smaller than the sum of its proper divisors (6549480).

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

2320920 is a wasteful number, since it uses less digits than its factorization.

2320920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2320920 is about 1523.4565960342. The cubic root of 2320920 is about 132.3996154338.

It can be divided in two parts, 2320 and 920, that added together give a triangular number (3240 = T80).

The spelling of 2320920 in words is "two million, three hundred twenty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 307 315 360 378 420 504 540 614 630 756 840 921 945 1080 1228 1260 1512 1535 1842 1890 2149 2456 2520 2763 3070 3684 3780 4298 4605 5526 6140 6447 7368 7560 8289 8596 9210 10745 11052 12280 12894 13815 16578 17192 18420 19341 21490 22104 25788 27630 32235 33156 36840 38682 41445 42980 51576 55260 58023 64470 66312 77364 82890 85960 96705 110520 116046 128940 154728 165780 193410 232092 257880 290115 331560 386820 464184 580230 773640 1160460 2320920