Search a number
-
+
989961700 = 2252721315541
BaseRepresentation
bin111011000000011…
…001110111100100
32112222210021011011
4323000121313210
54011412233300
6242122152004
733350351500
oct7300316744
92488707134
10989961700
11468897972
12237652604
1312a134070
1495697300
155bd9beba
hex3b019de4

989961700 has 108 divisors (see below), whose sum is σ = 2691345972. Its totient is φ = 313286400.

The previous prime is 989961691. The next prime is 989961761. The reversal of 989961700 is 7169989.

989961700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 34409956 + 955551744 = 5866^2 + 30912^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55930 + ... + 71470.

Almost surely, 2989961700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 989961700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345672986).

989961700 is an abundant number, since it is smaller than the sum of its proper divisors (1701384272).

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

989961700 is a wasteful number, since it uses less digits than its factorization.

989961700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15582 (or 15568 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 49.

The square root of 989961700 is about 31463.6568122652. The cubic root of 989961700 is about 996.6426407535.

The spelling of 989961700 in words is "nine hundred eighty-nine million, nine hundred sixty-one thousand, seven hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 49 50 52 65 70 91 98 100 130 140 175 182 196 245 260 325 350 364 455 490 637 650 700 910 980 1225 1274 1300 1820 2275 2450 2548 3185 4550 4900 6370 9100 12740 15541 15925 31082 31850 62164 63700 77705 108787 155410 202033 217574 310820 388525 404066 435148 543935 761509 777050 808132 1010165 1087870 1414231 1523018 1554100 2020330 2175740 2719675 2828462 3046036 3807545 4040660 5050825 5439350 5656924 7071155 7615090 9899617 10101650 10878700 14142310 15230180 19037725 19799234 20203300 28284620 35355775 38075450 39598468 49498085 70711550 76150900 98996170 141423100 197992340 247490425 494980850 989961700