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99850140 = 223251371601
BaseRepresentation
bin1011111001110…
…01011110011100
320221212220122100
411330321132130
5201030201030
613524045100
72321466165
oct574713634
9227786570
1099850140
11513a9985
1229533790
13178c0530
14d39276c
158b75360
hex5f3979c

99850140 has 144 divisors (see below), whose sum is σ = 331321536. Its totient is φ = 24192000.

The previous prime is 99850139. The next prime is 99850141. The reversal of 99850140 is 4105899.

It is an interprime number because it is at equal distance from previous prime (99850139) and next prime (99850141).

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 = 99850095 and 99850104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99850141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165840 + ... + 166440.

It is an arithmetic number, because the mean of its divisors is an integer number (2300844).

Almost surely, 299850140 is an apocalyptic number.

99850140 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 99850140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165660768).

99850140 is an abundant number, since it is smaller than the sum of its proper divisors (231471396).

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

99850140 is a wasteful number, since it uses less digits than its factorization.

99850140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 695 counting only the distinct ones).

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

The square root of 99850140 is about 9992.5041906421. The cubic root of 99850140 is about 463.9269046073.

The spelling of 99850140 in words is "ninety-nine million, eight hundred fifty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 71 78 90 117 130 142 156 180 195 213 234 260 284 355 390 426 468 585 601 639 710 780 852 923 1065 1170 1202 1278 1420 1803 1846 2130 2340 2404 2556 2769 3005 3195 3606 3692 4260 4615 5409 5538 6010 6390 7212 7813 8307 9015 9230 10818 11076 12020 12780 13845 15626 16614 18030 18460 21636 23439 27045 27690 31252 33228 36060 39065 41535 42671 46878 54090 55380 70317 78130 83070 85342 93756 108180 117195 128013 140634 156260 166140 170684 213355 234390 256026 281268 351585 384039 426710 468780 512052 554723 640065 703170 768078 853420 1109446 1280130 1406340 1536156 1664169 1920195 2218892 2560260 2773615 3328338 3840390 4992507 5547230 6656676 7680780 8320845 9985014 11094460 16641690 19970028 24962535 33283380 49925070 99850140