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99969800 = 2352721012
BaseRepresentation
bin1011111010101…
…10101100001000
320222002222210012
411331112230020
5201043013200
613530411052
72322505100
oct575265410
9228088705
1099969800
1151480877
1229590a88
1317932b38
14d3c4200
158b9aa35
hex5f56b08

99969800 has 108 divisors (see below), whose sum is σ = 273081015. Its totient is φ = 33936000.

The previous prime is 99969791. The next prime is 99969827. The reversal of 99969800 is 896999.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 88774084 + 11195716 = 9422^2 + 3346^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7070.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 989750 + ... + 989850.

Almost surely, 299969800 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 99969800

99969800 is an abundant number, since it is smaller than the sum of its proper divisors (173111215).

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

99969800 is a wasteful number, since it uses less digits than its factorization.

99969800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 50.

The square root of 99969800 is about 9998.4898859778. The cubic root of 99969800 is about 464.1121533292.

Multiplying 99969800 by its sum of digits (50), we get a square (4998490000 = 707002).

99969800 divided by its sum of digits (50) gives a square (1999396 = 14142).

The spelling of 99969800 in words is "ninety-nine million, nine hundred sixty-nine thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 101 140 175 196 200 202 245 280 350 392 404 490 505 700 707 808 980 1010 1225 1400 1414 1960 2020 2450 2525 2828 3535 4040 4900 4949 5050 5656 7070 9800 9898 10100 10201 14140 17675 19796 20200 20402 24745 28280 35350 39592 40804 49490 51005 70700 71407 81608 98980 102010 123725 141400 142814 197960 204020 247450 255025 285628 357035 408040 494900 499849 510050 571256 714070 989800 999698 1020100 1428140 1785175 1999396 2040200 2499245 2856280 3570350 3998792 4998490 7140700 9996980 12496225 14281400 19993960 24992450 49984900 99969800