Search a number
-
+
99993750 = 23555333
BaseRepresentation
bin1011111010111…
…00100010010110
320222011012122020
411331130202112
5201044300000
613531114010
72322634653
oct575344226
9228135566
1099993750
115149786a
12295a2906
13179409cc
14d3ccc2a
158ba2ba0
hex5f5c896

99993750 has 48 divisors (see below), whose sum is σ = 250015248. Its totient is φ = 26660000.

The previous prime is 99993743. The next prime is 99993767. The reversal of 99993750 is 5739999.

It is a junction number, because it is equal to n+sod(n) for n = 99993693 and 99993702.

It is a congruent number.

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, 16084 + ... + 21416.

It is an arithmetic number, because the mean of its divisors is an integer number (5208651).

Almost surely, 299993750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99993750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125007624).

99993750 is an abundant number, since it is smaller than the sum of its proper divisors (150021498).

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

99993750 is an equidigital number, since it uses as much as digits as its factorization.

99993750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5363 (or 5343 counting only the distinct ones).

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

The square root of 99993750 is about 9999.6874951170. The cubic root of 99993750 is about 464.1492131831.

It can be divided in two parts, 999 and 93750, that added together give a palindrome (94749).

The spelling of 99993750 in words is "ninety-nine million, nine hundred ninety-three thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 250 375 625 750 1250 1875 3125 3750 5333 6250 9375 10666 15999 18750 26665 31998 53330 79995 133325 159990 266650 399975 666625 799950 1333250 1999875 3333125 3999750 6666250 9999375 16665625 19998750 33331250 49996875 99993750