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97206102 = 23372172161
BaseRepresentation
bin1011100101100…
…11111101010110
320202220120201000
411302303331112
5144341043402
613351244130
72260144500
oct562637526
9222816630
1097206102
114a963424
1228679646
13171a5c06
14cca4d70
158801c1c
hex5cb3f56

97206102 has 96 divisors (see below), whose sum is σ = 266185440. Its totient is φ = 26127360.

The previous prime is 97206097. The next prime is 97206107. The reversal of 97206102 is 20160279.

It is an interprime number because it is at equal distance from previous prime (97206097) and next prime (97206107).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97206107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43902 + ... + 46062.

It is an arithmetic number, because the mean of its divisors is an integer number (2772765).

Almost surely, 297206102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97206102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133092720).

97206102 is an abundant number, since it is smaller than the sum of its proper divisors (168979338).

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

97206102 is a wasteful number, since it uses less digits than its factorization.

97206102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 97206102 is about 9859.3154934813. The cubic root of 97206102 is about 459.7952806755.

The spelling of 97206102 in words is "ninety-seven million, two hundred six thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 49 51 54 63 98 102 119 126 147 153 189 238 294 306 357 378 441 459 714 833 882 918 1071 1323 1666 2142 2161 2499 2646 3213 4322 4998 6426 6483 7497 12966 14994 15127 19449 22491 30254 36737 38898 44982 45381 58347 73474 90762 105889 110211 116694 136143 211778 220422 257159 272286 317667 330633 408429 514318 635334 661266 771477 816858 953001 991899 1542954 1800113 1906002 1983798 2314431 2859003 3600226 4628862 5400339 5718006 6943293 10800678 13886586 16201017 32402034 48603051 97206102