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99000936 = 23321375013
BaseRepresentation
bin1011110011010…
…10001001101000
320220021202202100
411321222021220
5200321012221
613453533400
72311331316
oct571521150
9226252670
1099000936
1150979961
12291a4260
1317683b48
14d2110b6
158a58926
hex5e6a268

99000936 has 24 divisors (see below), whose sum is σ = 268127730. Its totient is φ = 33000288.

The previous prime is 99000919. The next prime is 99000953. The reversal of 99000936 is 63900099.

It is an interprime number because it is at equal distance from previous prime (99000919) and next prime (99000953).

It can be written as a sum of positive squares in only one way, i.e., 81108036 + 17892900 = 9006^2 + 4230^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 99000936.

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 5 ways as a sum of consecutive naturals, for example, 687435 + ... + 687578.

Almost surely, 299000936 is an apocalyptic number.

It is an amenable number.

99000936 is an abundant number, since it is smaller than the sum of its proper divisors (169126794).

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

99000936 is a wasteful number, since it uses less digits than its factorization.

99000936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375025 (or 1375018 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 99000936 is about 9949.9214067248. The cubic root of 99000936 is about 462.6079588251.

It can be divided in two parts, 9900093 and 6, that added together give a palindrome (9900099).

The spelling of 99000936 in words is "ninety-nine million, nine hundred thirty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1375013 2750026 4125039 5500052 8250078 11000104 12375117 16500156 24750234 33000312 49500468 99000936