Search a number
-
+
99213984 = 25364253
BaseRepresentation
bin1011110100111…
…10001010100000
320220200121000000
411322132022200
5200344321414
613502300000
72313206412
oct572361240
9226617000
1099213984
1151004a31
1229287600
1317729acc
14d2689b2
158a9bb09
hex5e9e2a0

99213984 has 84 divisors (see below), whose sum is σ = 292926186. Its totient is φ = 33063552.

The previous prime is 99213979. The next prime is 99213997. The reversal of 99213984 is 48931299.

It can be written as a sum of positive squares in only one way, i.e., 96589584 + 2624400 = 9828^2 + 1620^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 21202 + ... + 25454.

Almost surely, 299213984 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 99213984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146463093).

99213984 is an abundant number, since it is smaller than the sum of its proper divisors (193712202).

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

99213984 is an equidigital number, since it uses as much as digits as its factorization.

99213984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4281 (or 4258 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 99213984 is about 9960.6216673459. The cubic root of 99213984 is about 462.9395620426.

The spelling of 99213984 in words is "ninety-nine million, two hundred thirteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 4253 5832 7776 8506 11664 12759 17012 23328 25518 34024 38277 51036 68048 76554 102072 114831 136096 153108 204144 229662 306216 344493 408288 459324 612432 688986 918648 1033479 1224864 1377972 1837296 2066958 2755944 3100437 3674592 4133916 5511888 6200874 8267832 11023776 12401748 16535664 24803496 33071328 49606992 99213984