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99136128 = 2737132837
BaseRepresentation
bin1011110100010…
…11001010000000
320220112122012110
411322023022000
5200334324003
613500455320
72312433420
oct572131200
9226478173
1099136128
1150a61493
122924a540
1317700540
14d248480
158a83a03
hex5e8b280

99136128 has 128 divisors (see below), whose sum is σ = 324213120. Its totient is φ = 26136576.

The previous prime is 99136099. The next prime is 99136151. The reversal of 99136128 is 82163199.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33526 + ... + 36362.

It is an arithmetic number, because the mean of its divisors is an integer number (2532915).

Almost surely, 299136128 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 99136128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162106560).

99136128 is an abundant number, since it is smaller than the sum of its proper divisors (225076992).

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

99136128 is a wasteful number, since it uses less digits than its factorization.

99136128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874 (or 2862 counting only the distinct ones).

The product of its digits is 23328, while the sum is 39.

The square root of 99136128 is about 9956.7127105285. The cubic root of 99136128 is about 462.8184364611.

The spelling of 99136128 in words is "ninety-nine million, one hundred thirty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1248 1344 1456 1664 2184 2496 2688 2837 2912 4368 4992 5674 5824 8511 8736 11348 11648 17022 17472 19859 22696 34044 34944 36881 39718 45392 59577 68088 73762 79436 90784 110643 119154 136176 147524 158872 181568 221286 238308 258167 272352 295048 317744 363136 442572 476616 516334 544704 590096 635488 774501 885144 953232 1032668 1089408 1180192 1270976 1549002 1770288 1906464 2065336 2360384 2541952 3098004 3540576 3812928 4130672 4720768 6196008 7081152 7625856 8261344 12392016 14162304 16522688 24784032 33045376 49568064 99136128