Search a number
-
+
99099400 = 2352539349
BaseRepresentation
bin1011110100000…
…10001100001000
320220110202211011
411322002030020
5200332140100
613500013304
72312221351
oct572021410
9226422734
1099099400
1150a36934
1229231234
13176b98ca
14d238d28
158a77bba
hex5e82308

99099400 has 48 divisors (see below), whose sum is σ = 234778500. Its totient is φ = 38887680.

The previous prime is 99099397. The next prime is 99099463. The reversal of 99099400 is 499099.

It can be written as a sum of positive squares in 6 ways, for example, as 66814276 + 32285124 = 8174^2 + 5682^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5926 + ... + 15274.

Almost surely, 299099400 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 99099400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117389250).

99099400 is an abundant number, since it is smaller than the sum of its proper divisors (135679100).

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

99099400 is a wasteful number, since it uses less digits than its factorization.

99099400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9418 (or 9409 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 40.

The square root of 99099400 is about 9954.8681558321. The cubic root of 99099400 is about 462.7612743363.

It can be divided in two parts, 99099 and 400, that added together give a palindrome (99499).

The spelling of 99099400 in words is "ninety-nine million, ninety-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 2120 2650 5300 9349 10600 18698 37396 46745 74792 93490 186980 233725 373960 467450 495497 934900 990994 1869800 1981988 2477485 3963976 4954970 9909940 12387425 19819880 24774850 49549700 99099400