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99083820 = 223511178831
BaseRepresentation
bin1011110011111…
…10011000101100
320220102222110010
411321332120230
5200331140240
613455413220
72312125053
oct571763054
9226388403
1099083820
1150a26160
1229224210
13176b27a4
14d23339a
158a73280
hex5e7e62c

99083820 has 96 divisors (see below), whose sum is σ = 320495616. Its totient is φ = 22604800.

The previous prime is 99083813. The next prime is 99083861. The reversal of 99083820 is 2838099.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6805 + ... + 15635.

It is an arithmetic number, because the mean of its divisors is an integer number (3338496).

Almost surely, 299083820 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 99083820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160247808).

99083820 is an abundant number, since it is smaller than the sum of its proper divisors (221411796).

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

99083820 is a wasteful number, since it uses less digits than its factorization.

99083820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8871 (or 8869 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 99083820 is about 9954.0855933632. The cubic root of 99083820 is about 462.7370219240.

The spelling of 99083820 in words is "ninety-nine million, eighty-three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2244 2805 3740 5610 8831 11220 17662 26493 35324 44155 52986 88310 97141 105972 132465 150127 176620 194282 264930 291423 300254 388564 450381 485705 529860 582846 600508 750635 900762 971410 1165692 1457115 1501270 1651397 1801524 1942820 2251905 2914230 3002540 3302794 4503810 4954191 5828460 6605588 8256985 9007620 9908382 16513970 19816764 24770955 33027940 49541910 99083820