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99032640 = 2635714737
BaseRepresentation
bin1011110011100…
…01111001000000
320220100101020120
411321301321000
5200323021030
613454340240
72311522620
oct571617100
9226311216
1099032640
11509a0763
12291ba680
13176953c5
14d21c880
158a63010
hex5e71e40

99032640 has 112 divisors (see below), whose sum is σ = 359371392. Its totient is φ = 22634496.

The previous prime is 99032629. The next prime is 99032669. The reversal of 99032640 is 4623099.

It is a tau number, because it is divible by the number of its divisors (112).

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, 649 + ... + 14088.

Almost surely, 299032640 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 99032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179685696).

99032640 is an abundant number, since it is smaller than the sum of its proper divisors (260338752).

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

99032640 is a wasteful number, since it uses less digits than its factorization.

99032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14764 (or 14754 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 99032640 is about 9951.5144576090. The cubic root of 99032640 is about 462.6573353192.

The spelling of 99032640 in words is "ninety-nine million, thirty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 14737 29474 44211 58948 73685 88422 103159 117896 147370 176844 206318 221055 235792 294740 309477 353688 412636 442110 471584 515795 589480 618954 707376 825272 884220 943168 1031590 1178960 1237908 1414752 1547385 1650544 1768440 2063180 2357920 2475816 2829504 3094770 3301088 3536880 4126360 4715840 4951632 6189540 6602176 7073760 8252720 9903264 12379080 14147520 16505440 19806528 24758160 33010880 49516320 99032640