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99814000 = 24531113349
BaseRepresentation
bin1011111001100…
…00101001110000
320221211002001211
411330300221300
5201023022000
613523205504
72321255626
oct574605160
9227732054
1099814000
1151384810
1229516894
13178a9c50
14d383516
158b697ba
hex5f30a70

99814000 has 160 divisors (see below), whose sum is σ = 284356800. Its totient is φ = 33408000.

The previous prime is 99813979. The next prime is 99814007. The reversal of 99814000 is 41899.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99814007) by changing a digit.

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, 285826 + ... + 286174.

It is an arithmetic number, because the mean of its divisors is an integer number (1777230).

Almost surely, 299814000 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 99814000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142178400).

99814000 is an abundant number, since it is smaller than the sum of its proper divisors (184542800).

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

99814000 is a wasteful number, since it uses less digits than its factorization.

99814000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 99814000 is about 9990.6956714735. The cubic root of 99814000 is about 463.8709262463.

Adding to 99814000 its reverse (41899), we get a palindrome (99855899).

The spelling of 99814000 in words is "ninety-nine million, eight hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 25 26 40 44 50 52 55 65 80 88 100 104 110 125 130 143 176 200 208 220 250 260 275 286 325 349 400 440 500 520 550 572 650 698 715 880 1000 1040 1100 1144 1300 1375 1396 1430 1625 1745 2000 2200 2288 2600 2750 2792 2860 3250 3490 3575 3839 4400 4537 5200 5500 5584 5720 6500 6980 7150 7678 8725 9074 11000 11440 13000 13960 14300 15356 17450 17875 18148 19195 22000 22685 26000 27920 28600 30712 34900 35750 36296 38390 43625 45370 49907 57200 61424 69800 71500 72592 76780 87250 90740 95975 99814 113425 139600 143000 153560 174500 181480 191950 199628 226850 249535 286000 307120 349000 362960 383900 399256 453700 479875 499070 567125 698000 767800 798512 907400 959750 998140 1134250 1247675 1535600 1814800 1919500 1996280 2268500 2495350 3839000 3992560 4537000 4990700 6238375 7678000 9074000 9981400 12476750 19962800 24953500 49907000 99814000