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98394660 = 223257136007
BaseRepresentation
bin1011101110101…
…10001000100100
320212010222002200
411313112020210
5200142112120
613432534500
72303224620
oct567261044
9225128080
1098394660
11505a5401
1228b51430
1317500bc0
14d0d4180
158988e90
hex5dd6224

98394660 has 144 divisors (see below), whose sum is σ = 367401216. Its totient is φ = 20756736.

The previous prime is 98394649. The next prime is 98394661. The reversal of 98394660 is 6649389.

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

It is not an unprimeable number, because it can be changed into a prime (98394661) 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 47 ways as a sum of consecutive naturals, for example, 13377 + ... + 19383.

Almost surely, 298394660 is an apocalyptic number.

98394660 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 98394660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183700608).

98394660 is an abundant number, since it is smaller than the sum of its proper divisors (269006556).

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

98394660 is a wasteful number, since it uses less digits than its factorization.

98394660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6042 (or 6037 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 98394660 is about 9919.4082484793. The cubic root of 98394660 is about 461.6616964512.

The spelling of 98394660 in words is "ninety-eight million, three hundred ninety-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 6007 8190 12014 16380 18021 24028 30035 36042 42049 54063 60070 72084 78091 84098 90105 108126 120140 126147 156182 168196 180210 210245 216252 234273 252294 270315 312364 360420 378441 390455 420490 468546 504588 540630 546637 630735 702819 756882 780910 840980 937092 1081260 1093274 1171365 1261470 1405638 1513764 1561820 1639911 1892205 2186548 2342730 2522940 2733185 2811276 3279822 3514095 3784410 4685460 4919733 5466370 6559644 7028190 7568820 8199555 9839466 10932740 14056380 16399110 19678932 24598665 32798220 49197330 98394660