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989139600 = 24345230529
BaseRepresentation
bin111010111101010…
…001001010010000
32112221020111110000
4322331101022100
54011204431400
6242052410000
733340355631
oct7275211220
92487214400
10989139600
11468386249
12237316900
13129c06b07
1495521888
155bc88600
hex3af51290

989139600 has 150 divisors (see below), whose sum is σ = 3550058930. Its totient is φ = 263761920.

The previous prime is 989139539. The next prime is 989139607. The reversal of 989139600 is 6931989.

989139600 is a `hidden beast` number, since 9 + 8 + 9 + 1 + 39 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 12702096 + 976437504 = 3564^2 + 31248^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (989139607) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 17136 + ... + 47664.

Almost surely, 2989139600 is an apocalyptic number.

989139600 is a gapful number since it is divisible by the number (90) 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 989139600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775029465).

989139600 is an abundant number, since it is smaller than the sum of its proper divisors (2560919330).

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

989139600 is a wasteful number, since it uses less digits than its factorization.

989139600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30559 (or 30539 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 989139600 is about 31450.5898195884. The cubic root of 989139600 is about 996.3666816523.

The spelling of 989139600 in words is "nine hundred eighty-nine million, one hundred thirty-nine thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 81 90 100 108 120 135 144 150 162 180 200 216 225 240 270 300 324 360 400 405 432 450 540 600 648 675 720 810 900 1080 1200 1296 1350 1620 1800 2025 2160 2700 3240 3600 4050 5400 6480 8100 10800 16200 30529 32400 61058 91587 122116 152645 183174 244232 274761 305290 366348 457935 488464 549522 610580 732696 763225 824283 915870 1099044 1221160 1373805 1465392 1526450 1648566 1831740 2198088 2289675 2442320 2472849 2747610 3052900 3297132 3663480 4121415 4396176 4579350 4945698 5495220 6105800 6594264 6869025 7326960 8242830 9158700 9891396 10990440 12211600 12364245 13188528 13738050 16485660 18317400 19782792 20607075 21980880 24728490 27476100 32971320 36634800 39565584 41214150 49456980 54952200 61821225 65942640 82428300 98913960 109904400 123642450 164856600 197827920 247284900 329713200 494569800 989139600