Search a number
-
+
99444240 = 2433576577
BaseRepresentation
bin1011110110101…
…10011000010000
320221010021212000
411323112120100
5200424203430
613511234000
72315155620
oct573263020
9227107760
1099444240
1151151a25
1229378900
13177aa85c
14d2c8880
158ae4e60
hex5ed6610

99444240 has 160 divisors (see below), whose sum is σ = 391522560. Its totient is φ = 22726656.

The previous prime is 99444227. The next prime is 99444259. The reversal of 99444240 is 4244499.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 99444195 and 99444204.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11832 + ... + 18408.

It is an arithmetic number, because the mean of its divisors is an integer number (2447016).

Almost surely, 299444240 is an apocalyptic number.

99444240 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 99444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195761280).

99444240 is an abundant number, since it is smaller than the sum of its proper divisors (292078320).

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

99444240 is a wasteful number, since it uses less digits than its factorization.

99444240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6606 (or 6594 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 99444240 is about 9972.1732836930. The cubic root of 99444240 is about 463.2974156838.

The spelling of 99444240 in words is "ninety-nine million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 6577 7560 13154 15120 19731 26308 32885 39462 46039 52616 59193 65770 78924 92078 98655 105232 118386 131540 138117 157848 177579 184156 197310 230195 236772 263080 276234 295965 315696 355158 368312 394620 414351 460390 473544 526160 552468 591930 690585 710316 736624 789240 828702 887895 920780 947088 1104936 1183860 1243053 1381170 1420632 1578480 1657404 1775790 1841560 2071755 2209872 2367720 2486106 2762340 2841264 3314808 3551580 3683120 4143510 4735440 4972212 5524680 6215265 6629616 7103160 8287020 9944424 11049360 12430530 14206320 16574040 19888848 24861060 33148080 49722120 99444240