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99397950 = 23522347613
BaseRepresentation
bin1011110110010…
…11000100111110
320221000221100120
411323023010332
5200421213300
613510235410
72314603641
oct573130476
9227027316
1099397950
1151120173
1229355b66
1317792772
14d2b5a58
158ad63a0
hex5ecb13e

99397950 has 96 divisors (see below), whose sum is σ = 263126016. Its totient is φ = 24773760.

The previous prime is 99397939. The next prime is 99397951. The reversal of 99397950 is 5979399.

99397950 is a nontrivial binomial coefficient, being equal to C(14100, 2).

It is a junction number, because it is equal to n+sod(n) for n = 99397893 and 99397902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99397951) 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, 161844 + ... + 162456.

It is an arithmetic number, because the mean of its divisors is an integer number (2740896).

Almost surely, 299397950 is an apocalyptic number.

99397950 is the 14099-th triangular number and also the 7050-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99397950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131563008).

99397950 is an abundant number, since it is smaller than the sum of its proper divisors (163728066).

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

99397950 is a wasteful number, since it uses less digits than its factorization.

99397950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 688905, while the sum is 51.

The square root of 99397950 is about 9969.8520550708. The cubic root of 99397950 is about 463.2255182203.

The spelling of 99397950 in words is "ninety-nine million, three hundred ninety-seven thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 47 50 69 75 94 115 138 141 150 230 235 282 345 470 575 613 690 705 1081 1150 1175 1226 1410 1725 1839 2162 2350 3065 3243 3450 3525 3678 5405 6130 6486 7050 9195 10810 14099 15325 16215 18390 27025 28198 28811 30650 32430 42297 45975 54050 57622 70495 81075 84594 86433 91950 140990 144055 162150 172866 211485 288110 352475 422970 432165 662653 704950 720275 864330 1057425 1325306 1440550 1987959 2114850 2160825 3313265 3975918 4321650 6626530 9939795 16566325 19879590 33132650 49698975 99397950