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99988900 = 225211175347
BaseRepresentation
bin1011111010110…
…11010110100100
320222010221222121
411331123112210
5201044121100
613531035324
72322614554
oct575332644
9228127877
1099988900
1151494160
122959bb44
131793b73b
14d3cb164
158ba151a
hex5f5b5a4

99988900 has 72 divisors (see below), whose sum is σ = 250671456. Its totient is φ = 34214400.

The previous prime is 99988879. The next prime is 99988913. The reversal of 99988900 is 988999.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16027 + ... + 21373.

It is an arithmetic number, because the mean of its divisors is an integer number (3481548).

Almost surely, 299988900 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 99988900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125335728).

99988900 is an abundant number, since it is smaller than the sum of its proper divisors (150682556).

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

99988900 is a wasteful number, since it uses less digits than its factorization.

99988900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5389 (or 5382 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 52.

The square root of 99988900 is about 9999.4449845979. Note that the first 3 decimals coincide. The cubic root of 99988900 is about 464.1417088471.

The spelling of 99988900 in words is "ninety-nine million, nine hundred eighty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 850 935 1100 1700 1870 3740 4675 5347 9350 10694 18700 21388 26735 53470 58817 90899 106940 117634 133675 181798 235268 267350 294085 363596 454495 534700 588170 908990 999889 1176340 1470425 1817980 1999778 2272475 2940850 3999556 4544950 4999445 5881700 9089900 9998890 19997780 24997225 49994450 99988900