Search a number
-
+
230780928 = 212372683
BaseRepresentation
bin11011100000101…
…11000000000000
3121002020212220210
431300113000000
5433034442203
634522234120
75501414460
oct1560270000
9532225823
10230780928
111092a7144
1265355940
1338a73881
1422915ba0
15153d9803
hexdc17000

230780928 has 104 divisors (see below), whose sum is σ = 703508608. Its totient is φ = 65912832.

The previous prime is 230780909. The next prime is 230780929. The reversal of 230780928 is 829087032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230780929) 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, 84675 + ... + 87357.

Almost surely, 2230780928 is an apocalyptic number.

230780928 is a gapful number since it is divisible by the number (28) 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 230780928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351754304).

230780928 is an abundant number, since it is smaller than the sum of its proper divisors (472727680).

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

230780928 is an equidigital number, since it uses as much as digits as its factorization.

230780928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 230780928 is about 15191.4755043742. The cubic root of 230780928 is about 613.3852172030.

The spelling of 230780928 in words is "two hundred thirty million, seven hundred eighty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2683 2688 3072 3584 4096 5366 5376 6144 7168 8049 10732 10752 12288 14336 16098 18781 21464 21504 28672 32196 37562 42928 43008 56343 64392 75124 85856 86016 112686 128784 150248 171712 225372 257568 300496 343424 450744 515136 600992 686848 901488 1030272 1201984 1373696 1802976 2060544 2403968 2747392 3605952 4121088 4807936 5494784 7211904 8242176 9615872 10989568 14423808 16484352 19231744 28847616 32968704 38463488 57695232 76926976 115390464 230780928