Search a number
-
+
99000412 = 22719712621
BaseRepresentation
bin1011110011010…
…10000001011100
320220021202000221
411321222001130
5200321003122
613453531124
72311326640
oct571520134
9226252027
1099000412
1150979525
12291a3aa4
1317683834
14d210c20
158a586c7
hex5e6a05c

99000412 has 48 divisors (see below), whose sum is σ = 211438080. Its totient is φ = 39614400.

The previous prime is 99000397. The next prime is 99000413. The reversal of 99000412 is 21400099.

It is a super-3 number, since 3×990004123 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99000413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36462 + ... + 39082.

It is an arithmetic number, because the mean of its divisors is an integer number (4404960).

Almost surely, 299000412 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 99000412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105719040).

99000412 is an abundant number, since it is smaller than the sum of its proper divisors (112437668).

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

99000412 is a wasteful number, since it uses less digits than its factorization.

99000412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 99000412 is about 9949.8950748237. The cubic root of 99000412 is about 462.6071426476.

The spelling of 99000412 in words is "ninety-nine million, four hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 7 14 19 28 38 71 76 133 142 266 284 497 532 994 1349 1988 2621 2698 5242 5396 9443 10484 18347 18886 36694 37772 49799 73388 99598 186091 199196 348593 372182 697186 744364 1302637 1394372 2605274 3535729 5210548 7071458 14142916 24750103 49500206 99000412