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98110080 = 2732517033
BaseRepresentation
bin1011101100100…
…00101010000000
320211121111201200
411312100222000
5200104010310
613422501200
72300631135
oct566205200
9224544650
1098110080
1150420612
1228a34800
1317431503
14d05c58c
15892e9c0
hex5d90a80

98110080 has 96 divisors (see below), whose sum is σ = 338806260. Its totient is φ = 26161152.

The previous prime is 98110073. The next prime is 98110099. The reversal of 98110080 is 8001189.

It can be written as a sum of positive squares in 2 ways, for example, as 93547584 + 4562496 = 9672^2 + 2136^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2757 + ... + 14276.

Almost surely, 298110080 is an apocalyptic number.

98110080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169403130).

98110080 is an abundant number, since it is smaller than the sum of its proper divisors (240696180).

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

98110080 is a wasteful number, since it uses less digits than its factorization.

98110080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17058 (or 17043 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 98110080 is about 9905.0532557882. The cubic root of 98110080 is about 461.2161893828.

The spelling of 98110080 in words is "ninety-eight million, one hundred ten thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 17033 34066 51099 68132 85165 102198 136264 153297 170330 204396 255495 272528 306594 340660 408792 510990 545056 613188 681320 766485 817584 1021980 1090112 1226376 1362640 1532970 1635168 2043960 2180224 2452752 2725280 3065940 3270336 4087920 4905504 5450560 6131880 6540672 8175840 9811008 10901120 12263760 16351680 19622016 24527520 32703360 49055040 98110080