Search a number
-
+
98130060 = 223257194099
BaseRepresentation
bin1011101100101…
…01100010001100
320211122112010200
411312111202030
5200110130220
613423133500
72301043320
oct566254214
9224575120
1098130060
1150434626
1228a44290
131743a632
14d065980
158935890
hex5d9588c

98130060 has 144 divisors (see below), whose sum is σ = 358176000. Its totient is φ = 21244032.

The previous prime is 98130037. The next prime is 98130073. The reversal of 98130060 is 6003189.

It is a congruent number.

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, 21891 + ... + 25989.

Almost surely, 298130060 is an apocalyptic number.

98130060 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 98130060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179088000).

98130060 is an abundant number, since it is smaller than the sum of its proper divisors (260045940).

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

98130060 is a wasteful number, since it uses less digits than its factorization.

98130060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4140 (or 4135 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 98130060 is about 9906.0617805463. The cubic root of 98130060 is about 461.2474959654.

The spelling of 98130060 in words is "ninety-eight million, one hundred thirty thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 1140 1197 1260 1330 1596 1710 1995 2394 2660 3420 3990 4099 4788 5985 7980 8198 11970 12297 16396 20495 23940 24594 28693 36891 40990 49188 57386 61485 73782 77881 81980 86079 114772 122970 143465 147564 155762 172158 184455 233643 245940 258237 286930 311524 344316 368910 389405 430395 467286 516474 545167 573860 700929 737820 778810 860790 934572 1032948 1090334 1168215 1291185 1401858 1557620 1635501 1721580 2180668 2336430 2582370 2725835 2803716 3271002 3504645 4672860 4906503 5164740 5451670 6542004 7009290 8177505 9813006 10903340 14018580 16355010 19626012 24532515 32710020 49065030 98130060