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2306920 = 2357211107
BaseRepresentation
bin1000110011001101101000
311100012111111
420303031220
51042310140
6121240104
725415500
oct10631550
94305444
102306920
111336250
12933034
1362a055
14440a00
153087ea
hex233368

2306920 has 96 divisors (see below), whose sum is σ = 6648480. Its totient is φ = 712320.

The previous prime is 2306911. The next prime is 2306957. The reversal of 2306920 is 296032.

2306920 = T133 + T134 + ... + T252.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 2306891 and 2306900.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21507 + ... + 21613.

It is an arithmetic number, because the mean of its divisors is an integer number (69255).

22306920 is an apocalyptic number.

2306920 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 2306920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324240).

2306920 is an abundant number, since it is smaller than the sum of its proper divisors (4341560).

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

2306920 is a wasteful number, since it uses less digits than its factorization.

2306920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 2306920 is about 1518.8548317729. The cubic root of 2306920 is about 132.1328628568.

The spelling of 2306920 in words is "two million, three hundred six thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 107 110 140 154 196 214 220 245 280 308 385 392 428 440 490 535 539 616 749 770 856 980 1070 1078 1177 1498 1540 1960 2140 2156 2354 2695 2996 3080 3745 4280 4312 4708 5243 5390 5885 5992 7490 8239 9416 10486 10780 11770 14980 16478 20972 21560 23540 26215 29960 32956 41195 41944 47080 52430 57673 65912 82390 104860 115346 164780 209720 230692 288365 329560 461384 576730 1153460 2306920