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99941400 = 233252134271
BaseRepresentation
bin1011111010011…
…11110000011000
320222001112211100
411331033300120
5201041111100
613530031400
72322326226
oct575176030
9228045740
1099941400
11514614a9
1229578560
1317922c30
14d3b7b16
158b92400
hex5f4fc18

99941400 has 144 divisors (see below), whose sum is σ = 361539360. Its totient is φ = 24595200.

The previous prime is 99941321. The next prime is 99941447. The reversal of 99941400 is 414999.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21265 + ... + 25535.

It is an arithmetic number, because the mean of its divisors is an integer number (2510690).

Almost surely, 299941400 is an apocalyptic number.

99941400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99941400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180769680).

99941400 is an abundant number, since it is smaller than the sum of its proper divisors (261597960).

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

99941400 is a wasteful number, since it uses less digits than its factorization.

99941400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4306 (or 4294 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 99941400 is about 9997.0695706292. The cubic root of 99941400 is about 464.0681999436.

It can be divided in two parts, 9 and 9941400, that added together give a square (9941409 = 31532).

The spelling of 99941400 in words is "ninety-nine million, nine hundred forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 100 104 117 120 130 150 156 180 195 200 225 234 260 300 312 325 360 390 450 468 520 585 600 650 780 900 936 975 1170 1300 1560 1800 1950 2340 2600 2925 3900 4271 4680 5850 7800 8542 11700 12813 17084 21355 23400 25626 34168 38439 42710 51252 55523 64065 76878 85420 102504 106775 111046 128130 153756 166569 170840 192195 213550 222092 256260 277615 307512 320325 333138 384390 427100 444184 499707 512520 555230 640650 666276 768780 832845 854200 960975 999414 1110460 1281300 1332552 1388075 1537560 1665690 1921950 1998828 2220920 2498535 2562600 2776150 3331380 3843900 3997656 4164225 4997070 5552300 6662760 7687800 8328450 9994140 11104600 12492675 16656900 19988280 24985350 33313800 49970700 99941400