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99120528 = 24321324073
BaseRepresentation
bin1011110100001…
…11010110010000
320220111211210200
411322013112100
5200333324103
613500255200
72312340063
oct572072620
9226454720
1099120528
1150a507a1
1229241500
13176c6400
14d2428da
158a7e0a3
hex5e87590

99120528 has 90 divisors (see below), whose sum is σ = 300453426. Its totient is φ = 30491136.

The previous prime is 99120479. The next prime is 99120551. The reversal of 99120528 is 82502199.

99120528 is a `hidden beast` number, since 9 + 9 + 120 + 528 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4875264 + 94245264 = 2208^2 + 9708^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 99120492 and 99120501.

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 17 ways as a sum of consecutive naturals, for example, 22300 + ... + 26372.

Almost surely, 299120528 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 99120528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150226713).

99120528 is an abundant number, since it is smaller than the sum of its proper divisors (201332898).

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

99120528 is a wasteful number, since it uses less digits than its factorization.

99120528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4113 (or 4091 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 99120528 is about 9955.9292886199. The cubic root of 99120528 is about 462.7941589129.

The spelling of 99120528 in words is "ninety-nine million, one hundred twenty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4056 4073 6084 8112 8146 12168 12219 16292 24336 24438 32584 36657 48876 52949 65168 73314 97752 105898 146628 158847 195504 211796 293256 317694 423592 476541 586512 635388 688337 847184 953082 1270776 1376674 1906164 2065011 2541552 2753348 3812328 4130022 5506696 6195033 7624656 8260044 11013392 12390066 16520088 24780132 33040176 49560264 99120528