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98080900 = 225229311091
BaseRepresentation
bin1011101100010…
…01100010000100
320211120000200221
411312021202010
5200102042100
613422114124
72300450101
oct566114204
9224500627
1098080900
11504006a5
1228a1b944
1317421148
14d051aa8
15892601a
hex5d89884

98080900 has 72 divisors (see below), whose sum is σ = 227485440. Its totient is φ = 36624000.

The previous prime is 98080867. The next prime is 98080909. The reversal of 98080900 is 908089.

It is not an unprimeable number, because it can be changed into a prime (98080909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89355 + ... + 90445.

It is an arithmetic number, because the mean of its divisors is an integer number (3159520).

Almost surely, 298080900 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 98080900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113742720).

98080900 is an abundant number, since it is smaller than the sum of its proper divisors (129404540).

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

98080900 is a wasteful number, since it uses less digits than its factorization.

98080900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 98080900 is about 9903.5801607298. The cubic root of 98080900 is about 461.1704597191.

Adding to 98080900 its reverse (908089), we get a palindrome (98988989).

The spelling of 98080900 in words is "ninety-eight million, eighty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 29 31 50 58 62 100 116 124 145 155 290 310 580 620 725 775 899 1091 1450 1550 1798 2182 2900 3100 3596 4364 4495 5455 8990 10910 17980 21820 22475 27275 31639 33821 44950 54550 63278 67642 89900 109100 126556 135284 158195 169105 316390 338210 632780 676420 790975 845525 980809 1581950 1691050 1961618 3163900 3382100 3923236 4904045 9808090 19616180 24520225 49040450 98080900