Search a number
-
+
99121936 = 241921312
BaseRepresentation
bin1011110100001…
…11101100010000
320220111220201211
411322013230100
5200333400221
613500305504
72312344144
oct572075420
9226456654
1099121936
1150a51861
1229242294
13176c6c44
14d243224
158a7e6e1
hex5e87b10

99121936 has 45 divisors (see below), whose sum is σ = 204247623. Its totient is φ = 46594080.

The previous prime is 99121931. The next prime is 99121937. The reversal of 99121936 is 63912199.

The square root of 99121936 is 9956.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (99121931) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 756591 + ... + 756721.

Almost surely, 299121936 is an apocalyptic number.

99121936 is the 9956-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99121936

99121936 is an abundant number, since it is smaller than the sum of its proper divisors (105125687).

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

99121936 is a wasteful number, since it uses less digits than its factorization.

99121936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 152 counting only the distinct ones).

The product of its digits is 26244, while the sum is 40.

The cubic root of 99121936 is about 462.7963502219.

Multiplying 99121936 by its product of digits (26244), we get a square (2601356088384 = 16128722).

It can be divided in two parts, 9912193 and 6, that added together give a palindrome (9912199).

The spelling of 99121936 in words is "ninety-nine million, one hundred twenty-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 19 38 76 131 152 262 304 361 524 722 1048 1444 2096 2489 2888 4978 5776 9956 17161 19912 34322 39824 47291 68644 94582 137288 189164 274576 326059 378328 652118 756656 1304236 2608472 5216944 6195121 12390242 24780484 49560968 99121936