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98102004 = 223711138167
BaseRepresentation
bin1011101100011…
…10101011110100
320211121002122120
411312032223310
5200103231004
613422355540
72300565450
oct566165364
9224532576
1098102004
1150415540
1228a2bbb0
131742a930
14d059660
15892c3d9
hex5d8eaf4

98102004 has 96 divisors (see below), whose sum is σ = 307378176. Its totient is φ = 23518080.

The previous prime is 98101973. The next prime is 98102009. The reversal of 98102004 is 40020189.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98102009) 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, 7929 + ... + 16095.

It is an arithmetic number, because the mean of its divisors is an integer number (3201856).

Almost surely, 298102004 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 98102004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153689088).

98102004 is an abundant number, since it is smaller than the sum of its proper divisors (209276172).

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

98102004 is a wasteful number, since it uses less digits than its factorization.

98102004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8205 (or 8203 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 98102004 is about 9904.6455766978. The cubic root of 98102004 is about 461.2035339242.

The spelling of 98102004 in words is "ninety-eight million, one hundred two thousand, four".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 8167 12012 16334 24501 32668 49002 57169 89837 98004 106171 114338 171507 179674 212342 228676 269511 318513 343014 359348 424684 539022 628859 637026 686028 743197 1078044 1167881 1257718 1274052 1486394 1886577 2229591 2335762 2515436 2972788 3503643 3773154 4459182 4671524 7007286 7546308 8175167 8918364 14014572 16350334 24525501 32700668 49051002 98102004