Search a number
-
+
99840150 = 232521731421
BaseRepresentation
bin1011111001101…
…11000010010110
320221212101221100
411330313002112
5201024341100
613523530530
72321425104
oct574670226
9227771840
1099840150
11513a2423
1229529a46
13178b8b17
14d38cc74
158b72400
hex5f37096

99840150 has 144 divisors (see below), whose sum is σ = 293874048. Its totient is φ = 24192000.

The previous prime is 99840113. The next prime is 99840151. The reversal of 99840150 is 5104899.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99840151) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 236940 + ... + 237360.

It is an arithmetic number, because the mean of its divisors is an integer number (2040792).

Almost surely, 299840150 is an apocalyptic number.

99840150 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 99840150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146937024).

99840150 is an abundant number, since it is smaller than the sum of its proper divisors (194033898).

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

99840150 is a wasteful number, since it uses less digits than its factorization.

99840150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 99840150 is about 9992.0043034418. The cubic root of 99840150 is about 463.9114321391.

The spelling of 99840150 in words is "ninety-nine million, eight hundred forty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 31 34 45 50 51 62 75 85 90 93 102 150 153 155 170 186 225 255 279 306 310 421 425 450 465 510 527 558 765 775 842 850 930 1054 1263 1275 1395 1530 1550 1581 2105 2325 2526 2550 2635 2790 3162 3789 3825 4210 4650 4743 5270 6315 6975 7157 7578 7650 7905 9486 10525 12630 13051 13175 13950 14314 15810 18945 21050 21471 23715 26102 26350 31575 35785 37890 39153 39525 42942 47430 63150 64413 65255 71570 78306 79050 94725 107355 117459 118575 128826 130510 178925 189450 195765 214710 221867 234918 237150 322065 326275 357850 391530 443734 536775 587295 644130 652550 665601 978825 1073550 1109335 1174590 1331202 1610325 1957650 1996803 2218670 2936475 3220650 3328005 3993606 5546675 5872950 6656010 9984015 11093350 16640025 19968030 33280050 49920075 99840150