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99716500 = 22531323229
BaseRepresentation
bin1011111000110…
…00110110010100
320221122010022201
411330120312110
5201011412000
613521134244
72320401442
oct574306624
9227563281
1099716500
1151318534
122948a384
1317874760
14d359b92
158b4a96a
hex5f18d94

99716500 has 144 divisors (see below), whose sum is σ = 253627920. Its totient is φ = 34003200.

The previous prime is 99716489. The next prime is 99716501. The reversal of 99716500 is 561799.

It can be written as a sum of positive squares in 8 ways, for example, as 50183056 + 49533444 = 7084^2 + 7038^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 99716500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99716501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3438486 + ... + 3438514.

It is an arithmetic number, because the mean of its divisors is an integer number (1761305).

Almost surely, 299716500 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 99716500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126813960).

99716500 is an abundant number, since it is smaller than the sum of its proper divisors (153911420).

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

99716500 is a wasteful number, since it uses less digits than its factorization.

99716500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 37.

The square root of 99716500 is about 9985.8149392025. The cubic root of 99716500 is about 463.7198380569.

It can be divided in two parts, 9971 and 6500, that added together give a triangular number (16471 = T181).

The spelling of 99716500 in words is "ninety-nine million, seven hundred sixteen thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 29 46 50 52 58 65 92 100 115 116 125 130 145 230 250 260 290 299 325 377 460 500 529 575 580 598 650 667 725 754 1058 1150 1196 1300 1334 1450 1495 1508 1625 1885 2116 2300 2645 2668 2875 2900 2990 3250 3335 3625 3770 5290 5750 5980 6500 6670 6877 7250 7475 7540 8671 9425 10580 11500 13225 13340 13754 14500 14950 15341 16675 17342 18850 26450 27508 29900 30682 33350 34385 34684 37375 37700 43355 47125 52900 61364 66125 66700 68770 74750 76705 83375 86710 94250 132250 137540 149500 153410 166750 171925 173420 188500 199433 216775 264500 306820 333500 343850 383525 398866 433550 687700 767050 797732 859625 867100 997165 1083875 1534100 1719250 1917625 1994330 2167750 3438500 3835250 3988660 4335500 4985825 7670500 9971650 19943300 24929125 49858250 99716500