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98020164 = 22311317192
BaseRepresentation
bin1011101011110…
…10101101000100
320211102221101110
411311322231010
5200043121124
613420525020
72300105034
oct565725504
9224387343
1098020164
115036a000
12289b0770
13173cc5c8
14d0378c4
158913029
hex5d7ab44

98020164 has 144 divisors (see below), whose sum is σ = 281123136. Its totient is φ = 26484480.

The previous prime is 98020151. The next prime is 98020187. The reversal of 98020164 is 46102089.

It is a super-5 number, since 5×980201645 (a number of 41 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5158947 + ... + 5158965.

It is an arithmetic number, because the mean of its divisors is an integer number (1952244).

Almost surely, 298020164 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 98020164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140561568).

98020164 is an abundant number, since it is smaller than the sum of its proper divisors (183102972).

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

98020164 is a wasteful number, since it uses less digits than its factorization.

98020164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 98020164 is about 9900.5133200254. The cubic root of 98020164 is about 461.0752477304.

The spelling of 98020164 in words is "ninety-eight million, twenty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 17 19 22 33 34 38 44 51 57 66 68 76 102 114 121 132 187 204 209 228 242 323 361 363 374 418 484 561 627 646 722 726 748 836 969 1083 1122 1254 1292 1331 1444 1452 1938 2057 2166 2244 2299 2508 2662 3553 3876 3971 3993 4114 4332 4598 5324 6137 6171 6897 7106 7942 7986 8228 9196 10659 11913 12274 12342 13794 14212 15884 15972 18411 21318 22627 23826 24548 24684 25289 27588 36822 39083 42636 43681 45254 47652 50578 67507 67881 73644 75867 78166 87362 90508 101156 117249 131043 135014 135762 151734 156332 174724 202521 234498 262086 270028 271524 303468 405042 429913 468996 480491 524172 742577 810084 859826 960982 1289739 1441473 1485154 1719652 1921964 2227731 2579478 2882946 2970308 4455462 5158956 5765892 8168347 8910924 16336694 24505041 32673388 49010082 98020164