Search a number
-
+
99990084 = 223191133881
BaseRepresentation
bin1011111010110…
…11101001000100
320222011000121110
411331123221010
5201044140314
613531045020
72322621165
oct575335104
9228130543
1099990084
1151495037
12295a0770
131793c13c
14d3cb76c
158ba1a59
hex5f5ba44

99990084 has 48 divisors (see below), whose sum is σ = 247826880. Its totient is φ = 31288320.

The previous prime is 99990083. The next prime is 99990091. The reversal of 99990084 is 48009999.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (99990083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23824 + ... + 27704.

It is an arithmetic number, because the mean of its divisors is an integer number (5163060).

Almost surely, 299990084 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 99990084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123913440).

99990084 is an abundant number, since it is smaller than the sum of its proper divisors (147836796).

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

99990084 is a wasteful number, since it uses less digits than its factorization.

99990084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4020 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 48.

The square root of 99990084 is about 9999.5041877085. The cubic root of 99990084 is about 464.1435408559.

The spelling of 99990084 in words is "ninety-nine million, nine hundred ninety thousand, eighty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 113 114 226 228 339 452 678 1356 2147 3881 4294 6441 7762 8588 11643 12882 15524 23286 25764 46572 73739 147478 221217 294956 438553 442434 877106 884868 1315659 1754212 2631318 5262636 8332507 16665014 24997521 33330028 49995042 99990084