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99683300 = 2252412593
BaseRepresentation
bin1011111000100…
…00101111100100
320221120102210002
411330100233210
5201004331200
613520320432
72320202603
oct574205744
9227512702
1099683300
11512a55a2
1229473118
1317862602
14d34ba3a
158b40bd5
hex5f10be4

99683300 has 54 divisors (see below), whose sum is σ = 222091254. Its totient is φ = 38835200.

The previous prime is 99683299. The next prime is 99683303. The reversal of 99683300 is 338699.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 74200996 + 25482304 = 8614^2 + 5048^2 .

It is not an unprimeable number, because it can be changed into a prime (99683303) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 167804 + ... + 168396.

It is an arithmetic number, because the mean of its divisors is an integer number (4112801).

Almost surely, 299683300 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 99683300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111045627).

99683300 is an abundant number, since it is smaller than the sum of its proper divisors (122407954).

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

99683300 is a wasteful number, since it uses less digits than its factorization.

99683300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 38.

The square root of 99683300 is about 9984.1524427465. The cubic root of 99683300 is about 463.6683681145.

The spelling of 99683300 in words is "ninety-nine million, six hundred eighty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 593 820 1025 1186 1681 2050 2372 2965 3362 4100 5930 6724 8405 11860 14825 16810 24313 29650 33620 42025 48626 59300 84050 97252 121565 168100 243130 486260 607825 996833 1215650 1993666 2431300 3987332 4984165 9968330 19936660 24920825 49841650 99683300