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98129040 = 24352329613
BaseRepresentation
bin1011101100101…
…01010010010000
320211122110201220
411312111102100
5200110112130
613423125040
72301040332
oct566252220
9224573656
1098129040
1150433889
1228a43780
131743a029
14d065452
158935410
hex5d95490

98129040 has 160 divisors (see below), whose sum is σ = 328907520. Its totient is φ = 24127488.

The previous prime is 98128999. The next prime is 98129041. The reversal of 98129040 is 4092189.

It is a junction number, because it is equal to n+sod(n) for n = 98128992 and 98129010.

It is not an unprimeable number, because it can be changed into a prime (98129041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159774 + ... + 160386.

It is an arithmetic number, because the mean of its divisors is an integer number (2055672).

Almost surely, 298129040 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 98129040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164453760).

98129040 is an abundant number, since it is smaller than the sum of its proper divisors (230778480).

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

98129040 is a wasteful number, since it uses less digits than its factorization.

98129040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 98129040 is about 9906.0102967845. The cubic root of 98129040 is about 461.2458978344.

The spelling of 98129040 in words is "ninety-eight million, one hundred twenty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 29 30 40 46 48 58 60 69 80 87 92 115 116 120 138 145 174 184 230 232 240 276 290 345 348 368 435 460 464 552 580 613 667 690 696 870 920 1104 1160 1226 1334 1380 1392 1740 1839 1840 2001 2320 2452 2668 2760 3065 3335 3480 3678 4002 4904 5336 5520 6130 6670 6960 7356 8004 9195 9808 10005 10672 12260 13340 14099 14712 16008 17777 18390 20010 24520 26680 28198 29424 32016 35554 36780 40020 42297 49040 53331 53360 56396 70495 71108 73560 80040 84594 88885 106662 112792 140990 142216 147120 160080 169188 177770 211485 213324 225584 266655 281980 284432 338376 355540 408871 422970 426648 533310 563960 676752 711080 817742 845940 853296 1066620 1127920 1226613 1422160 1635484 1691880 2044355 2133240 2453226 3270968 3383760 4088710 4266480 4906452 6133065 6541936 8177420 9812904 12266130 16354840 19625808 24532260 32709680 49064520 98129040