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102488166 = 23511191009
BaseRepresentation
bin1100001101111…
…01100001100110
321010211221100000
412012331201212
5202214110131
614100402130
72353064214
oct606754146
9233757300
10102488166
1152940970
122a3a6346
13183051b1
14d87bcb4
158ee6ce6
hex61bd866

102488166 has 96 divisors (see below), whose sum is σ = 264700800. Its totient is φ = 29393280.

The previous prime is 102488159. The next prime is 102488171. The reversal of 102488166 is 661884201.

102488166 is a `hidden beast` number, since 10 + 2 + 488 + 166 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 102488166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101070 + ... + 102078.

It is an arithmetic number, because the mean of its divisors is an integer number (2757300).

Almost surely, 2102488166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102488166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132350400).

102488166 is an abundant number, since it is smaller than the sum of its proper divisors (162212634).

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

102488166 is a wasteful number, since it uses less digits than its factorization.

102488166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 102488166 is about 10123.6439091861. The cubic root of 102488166 is about 467.9770698825.

The spelling of 102488166 in words is "one hundred two million, four hundred eighty-eight thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 81 99 114 162 171 198 209 243 297 342 418 486 513 594 627 891 1009 1026 1254 1539 1782 1881 2018 2673 3027 3078 3762 4617 5346 5643 6054 9081 9234 11099 11286 16929 18162 19171 22198 27243 33297 33858 38342 50787 54486 57513 66594 81729 99891 101574 115026 163458 172539 199782 210881 245187 299673 345078 421762 490374 517617 599346 632643 899019 1035234 1265286 1552851 1798038 1897929 2697057 3105702 3795858 4658553 5394114 5693787 9317106 11387574 17081361 34162722 51244083 102488166