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98980080 = 24353171301
BaseRepresentation
bin1011110011001…
…01000011110000
320220020201010220
411321211003300
5200314330310
613453253040
72311213443
oct571450360
9226221126
1098980080
1150965221
1229194180
13176774c4
14d20765a
158a52670
hex5e650f0

98980080 has 80 divisors (see below), whose sum is σ = 308042784. Its totient is φ = 26291200.

The previous prime is 98980067. The next prime is 98980087. The reversal of 98980080 is 8008989.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98980087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75430 + ... + 76730.

Almost surely, 298980080 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 98980080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154021392).

98980080 is an abundant number, since it is smaller than the sum of its proper divisors (209062704).

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

98980080 is a wasteful number, since it uses less digits than its factorization.

98980080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The square root of 98980080 is about 9948.8733030429. The cubic root of 98980080 is about 462.5754714919.

The spelling of 98980080 in words is "ninety-eight million, nine hundred eighty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 317 634 951 1268 1301 1585 1902 2536 2602 3170 3804 3903 4755 5072 5204 6340 6505 7608 7806 9510 10408 12680 13010 15216 15612 19020 19515 20816 25360 26020 31224 38040 39030 52040 62448 76080 78060 104080 156120 312240 412417 824834 1237251 1649668 2062085 2474502 3299336 4124170 4949004 6186255 6598672 8248340 9898008 12372510 16496680 19796016 24745020 32993360 49490040 98980080