Search a number
-
+
28811970 = 23351189109
BaseRepresentation
bin110110111101…
…0001011000010
32000012210121000
41231322023002
524333440340
62505312430
7466616625
oct155721302
960183530
1028811970
1115299950
129795716
135c7a305
143b7ddbc
1527e1d30
hex1b7a2c2

28811970 has 128 divisors (see below), whose sum is σ = 85536000. Its totient is φ = 6842880.

The previous prime is 28811969. The next prime is 28811983. The reversal of 28811970 is 7911882.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 264276 + ... + 264384.

It is an arithmetic number, because the mean of its divisors is an integer number (668250).

Almost surely, 228811970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28811970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42768000).

28811970 is an abundant number, since it is smaller than the sum of its proper divisors (56724030).

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

28811970 is a wasteful number, since it uses less digits than its factorization.

28811970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 28811970 is about 5367.6782690471. The cubic root of 28811970 is about 306.5662333898.

It can be divided in two parts, 2881 and 1970, that added together give a triangular number (4851 = T98).

The spelling of 28811970 in words is "twenty-eight million, eight hundred eleven thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 89 90 99 109 110 135 165 178 198 218 267 270 297 327 330 445 495 534 545 594 654 801 890 979 981 990 1090 1199 1335 1485 1602 1635 1958 1962 2398 2403 2670 2937 2943 2970 3270 3597 4005 4806 4895 4905 5874 5886 5995 7194 8010 8811 9701 9790 9810 10791 11990 12015 14685 14715 17622 17985 19402 21582 24030 26433 29103 29370 29430 32373 35970 44055 48505 52866 53955 58206 64746 87309 88110 97010 106711 107910 132165 145515 161865 174618 213422 261927 264330 291030 320133 323730 436545 523854 533555 640266 873090 960399 1067110 1309635 1600665 1920798 2619270 2881197 3201330 4801995 5762394 9603990 14405985 28811970