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98985060 = 2232519103281
BaseRepresentation
bin1011110011001…
…10010001100100
320220020221222100
411321212101210
5200320010220
613453332100
72311234116
oct571462144
9226227870
1098985060
1150968a39
1229197030
1317679855
14d2093b6
158a53d90
hex5e66464

98985060 has 144 divisors (see below), whose sum is σ = 320261760. Its totient is φ = 24675840.

The previous prime is 98985043. The next prime is 98985071. The reversal of 98985060 is 6058989.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 98984997 and 98985015.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 352120 + ... + 352400.

It is an arithmetic number, because the mean of its divisors is an integer number (2224040).

Almost surely, 298985060 is an apocalyptic number.

98985060 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 98985060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160130880).

98985060 is an abundant number, since it is smaller than the sum of its proper divisors (221276700).

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

98985060 is a wasteful number, since it uses less digits than its factorization.

98985060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 98985060 is about 9949.1235794918. The cubic root of 98985060 is about 462.5832292388.

The spelling of 98985060 in words is "ninety-eight million, nine hundred eighty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 103 114 171 180 190 206 228 281 285 309 342 380 412 515 562 570 618 684 843 855 927 1030 1124 1140 1236 1405 1545 1686 1710 1854 1957 2060 2529 2810 3090 3372 3420 3708 3914 4215 4635 5058 5339 5620 5871 6180 7828 8430 9270 9785 10116 10678 11742 12645 16017 16860 17613 18540 19570 21356 23484 25290 26695 28943 29355 32034 35226 39140 48051 50580 53390 57886 58710 64068 70452 80085 86829 88065 96102 106780 115772 117420 144715 160170 173658 176130 192204 240255 260487 289430 320340 347316 352260 434145 480510 520974 549917 578860 868290 961020 1041948 1099834 1302435 1649751 1736580 2199668 2604870 2749585 3299502 4949253 5209740 5499170 6599004 8248755 9898506 10998340 16497510 19797012 24746265 32995020 49492530 98985060