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99895040 = 285711149
BaseRepresentation
bin1011111010001…
…00011100000000
320221222012020022
411331010130000
5201033120130
613525033012
72322044120
oct575043400
9227865208
1099895040
115142a693
1229555768
1317907abb
14d3a4c80
158b837e5
hex5f44700

99895040 has 72 divisors (see below), whose sum is σ = 273487200. Its totient is φ = 34246656.

The previous prime is 99895031. The next prime is 99895091. The reversal of 99895040 is 4059899.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 99894982 and 99895000.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3386 + ... + 14534.

Almost surely, 299895040 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 99895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136743600).

99895040 is an abundant number, since it is smaller than the sum of its proper divisors (173592160).

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

99895040 is a wasteful number, since it uses less digits than its factorization.

99895040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11177 (or 11163 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 44.

The square root of 99895040 is about 9994.7506222016. The cubic root of 99895040 is about 463.9964327906.

The spelling of 99895040 in words is "ninety-nine million, eight hundred ninety-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 11149 22298 44596 55745 78043 89192 111490 156086 178384 222980 312172 356768 390215 445960 624344 713536 780430 891920 1248688 1427072 1560860 1783840 2497376 2854144 3121720 3567680 4994752 6243440 7135360 9989504 12486880 14270720 19979008 24973760 49947520 99895040