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99870084 = 2236291181
BaseRepresentation
bin1011111001111…
…10010110000100
320221220221000000
411330332112010
5201031320314
613524321300
72321611266
oct574762604
9227827000
1099870084
1151412966
1229543230
13178c9632
14d399b36
158b7b209
hex5f3e584

99870084 has 84 divisors (see below), whose sum is σ = 271304460. Its totient is φ = 32114880.

The previous prime is 99870083. The next prime is 99870097. The reversal of 99870084 is 48007899.

It can be written as a sum of positive squares in 2 ways, for example, as 74649600 + 25220484 = 8640^2 + 5022^2 .

It is not an unprimeable number, because it can be changed into a prime (99870083) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 83974 + ... + 85154.

It is an arithmetic number, because the mean of its divisors is an integer number (3229815).

Almost surely, 299870084 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 99870084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135652230).

99870084 is an abundant number, since it is smaller than the sum of its proper divisors (171434376).

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

99870084 is a wasteful number, since it uses less digits than its factorization.

99870084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 99870084 is about 9993.5020888575. The cubic root of 99870084 is about 463.9577907006.

The spelling of 99870084 in words is "ninety-nine million, eight hundred seventy thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 243 261 324 348 486 522 729 783 972 1044 1181 1458 1566 2349 2362 2916 3132 3543 4698 4724 7047 7086 9396 10629 14094 14172 21141 21258 28188 31887 34249 42282 42516 63774 68498 84564 95661 102747 127548 136996 191322 205494 286983 308241 382644 410988 573966 616482 860949 924723 1147932 1232964 1721898 1849446 2774169 3443796 3698892 5548338 8322507 11096676 16645014 24967521 33290028 49935042 99870084