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99689800 = 23527312297
BaseRepresentation
bin1011111000100…
…10010101001000
320221120202200211
411330102111020
5201010033200
613520410504
72320230550
oct574222510
9227522624
1099689800
11512aa471
1229476a34
1317865562
14d350160
158b42aba
hex5f12548

99689800 has 96 divisors (see below), whose sum is σ = 273553920. Its totient is φ = 33062400.

The previous prime is 99689761. The next prime is 99689813. The reversal of 99689800 is 898699.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42252 + ... + 44548.

It is an arithmetic number, because the mean of its divisors is an integer number (2849520).

Almost surely, 299689800 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 99689800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136776960).

99689800 is an abundant number, since it is smaller than the sum of its proper divisors (173864120).

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

99689800 is a wasteful number, since it uses less digits than its factorization.

99689800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 49.

The square root of 99689800 is about 9984.4779533033. The cubic root of 99689800 is about 463.6784459606.

It can be divided in two parts, 99689 and 800, that added together give a square (100489 = 3172).

The spelling of 99689800 in words is "ninety-nine million, six hundred eighty-nine thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 31 35 40 50 56 62 70 100 124 140 155 175 200 217 248 280 310 350 434 620 700 775 868 1085 1240 1400 1550 1736 2170 2297 3100 4340 4594 5425 6200 8680 9188 10850 11485 16079 18376 21700 22970 32158 43400 45940 57425 64316 71207 80395 91880 114850 128632 142414 160790 229700 284828 321580 356035 401975 459400 498449 569656 643160 712070 803950 996898 1424140 1607900 1780175 1993796 2492245 2848280 3215800 3560350 3987592 4984490 7120700 9968980 12461225 14241400 19937960 24922450 49844900 99689800