Search a number
-
+
99909768 = 23373716073
BaseRepresentation
bin1011111010010…
…00000010001000
320221222221102210
411331020002020
5201034103033
613525225120
72322135060
oct575100210
9227887383
1099909768
115143a762
12295621a0
131791170a
14d3aa3a0
158b87d63
hex5f48088

99909768 has 64 divisors (see below), whose sum is σ = 293189760. Its totient is φ = 27772416.

The previous prime is 99909767. The next prime is 99909779. The reversal of 99909768 is 86790999.

It is not an unprimeable number, because it can be changed into a prime (99909767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1821 + ... + 14252.

It is an arithmetic number, because the mean of its divisors is an integer number (4581090).

Almost surely, 299909768 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 99909768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146594880).

99909768 is an abundant number, since it is smaller than the sum of its proper divisors (193279992).

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

99909768 is a wasteful number, since it uses less digits than its factorization.

99909768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16126 (or 16122 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 57.

The square root of 99909768 is about 9995.4873818139. The cubic root of 99909768 is about 464.0192347357.

The spelling of 99909768 in words is "ninety-nine million, nine hundred nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 888 1036 1554 2072 3108 6216 16073 32146 48219 64292 96438 112511 128584 192876 225022 337533 385752 450044 594701 675066 900088 1189402 1350132 1784103 2378804 2700264 3568206 4162907 4757608 7136412 8325814 12488721 14272824 16651628 24977442 33303256 49954884 99909768