Search a number
-
+
1299446928 = 243313435381
BaseRepresentation
bin100110101110011…
…1111110010010000
310100120010202002000
41031130333302100
510130124300203
6332535354000
744126055003
oct11534776220
93316122060
101299446928
1160755a78a
12303222900
131792a3310
14c481953a
15791314a3
hex4d73fc90

1299446928 has 160 divisors (see below), whose sum is σ = 4110986880. Its totient is φ = 390458880.

The previous prime is 1299446927. The next prime is 1299446957. The reversal of 1299446928 is 8296449921.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1299446927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238798 + ... + 244178.

It is an arithmetic number, because the mean of its divisors is an integer number (25693668).

Almost surely, 21299446928 is an apocalyptic number.

1299446928 is a gapful number since it is divisible by the number (18) 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 1299446928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055493440).

1299446928 is an abundant number, since it is smaller than the sum of its proper divisors (2811539952).

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

1299446928 is a wasteful number, since it uses less digits than its factorization.

1299446928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5454 (or 5442 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 1299446928 is about 36047.8422100408. The cubic root of 1299446928 is about 1091.2380870442.

The spelling of 1299446928 in words is "one billion, two hundred ninety-nine million, four hundred forty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 43 48 52 54 72 78 86 104 108 117 129 144 156 172 208 216 234 258 312 344 351 387 432 468 516 559 624 688 702 774 936 1032 1118 1161 1404 1548 1677 1872 2064 2236 2322 2808 3096 3354 4472 4644 5031 5381 5616 6192 6708 8944 9288 10062 10762 13416 15093 16143 18576 20124 21524 26832 30186 32286 40248 43048 48429 60372 64572 69953 80496 86096 96858 120744 129144 139906 145287 193716 209859 231383 241488 258288 279812 290574 387432 419718 462766 559624 581148 629577 694149 774864 839436 925532 1119248 1162296 1259154 1388298 1678872 1851064 1888731 2082447 2324592 2518308 2776596 3007979 3357744 3702128 3777462 4164894 5036616 5553192 6015958 6247341 7554924 8329788 9023937 10073232 11106384 12031916 12494682 15109848 16659576 18047874 24063832 24989364 27071811 30219696 33319152 36095748 48127664 49978728 54143622 72191496 81215433 99957456 108287244 144382992 162430866 216574488 324861732 433148976 649723464 1299446928