Search a number
-
+
99030128 = 24192947239
BaseRepresentation
bin1011110011100…
…01010001110000
320220100020210112
411321301101300
5200322431003
613454320452
72311512401
oct571612160
9226306715
1099030128
115099988a
12291b9128
1317694212
14d21b9a8
158a623d8
hex5e71470

99030128 has 80 divisors (see below), whose sum is σ = 214272000. Its totient is φ = 44142336.

The previous prime is 99030103. The next prime is 99030163. The reversal of 99030128 is 82103099.

It is a junction number, because it is equal to n+sod(n) for n = 99030094 and 99030103.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 414233 + ... + 414471.

It is an arithmetic number, because the mean of its divisors is an integer number (2678400).

Almost surely, 299030128 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 99030128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107136000).

99030128 is an abundant number, since it is smaller than the sum of its proper divisors (115241872).

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

99030128 is a wasteful number, since it uses less digits than its factorization.

99030128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 99030128 is about 9951.3882448631. The cubic root of 99030128 is about 462.6534234606.

The spelling of 99030128 in words is "ninety-nine million, thirty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 19 29 38 47 58 76 94 116 152 188 232 239 304 376 464 478 551 752 893 956 1102 1363 1786 1912 2204 2726 3572 3824 4408 4541 5452 6931 7144 8816 9082 10904 11233 13862 14288 18164 21808 22466 25897 27724 36328 44932 51794 55448 72656 89864 103588 110896 131689 179728 207176 213427 263378 325757 414352 426854 526756 651514 853708 1053512 1303028 1707416 2107024 2606056 3414832 5212112 6189383 12378766 24757532 49515064 99030128