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102688026 = 2373411217
BaseRepresentation
bin1100001111011…
…10010100011010
321011020002111020
412013232110122
5202242004101
614104543310
72354556000
oct607562432
9234202436
10102688026
1152a68041
122a481b36
131837515c
14d8d0a70
159036136
hex61ee51a

102688026 has 64 divisors (see below), whose sum is σ = 245548800. Its totient is φ = 28600320.

The previous prime is 102688021. The next prime is 102688049. The reversal of 102688026 is 620886201.

It is not an unprimeable number, because it can be changed into a prime (102688021) 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, 83770 + ... + 84986.

It is an arithmetic number, because the mean of its divisors is an integer number (3836700).

Almost surely, 2102688026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102688026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122774400).

102688026 is an abundant number, since it is smaller than the sum of its proper divisors (142860774).

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

102688026 is a wasteful number, since it uses less digits than its factorization.

102688026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 102688026 is about 10133.5100532836. The cubic root of 102688026 is about 468.2810697481.

The spelling of 102688026 in words is "one hundred two million, six hundred eighty-eight thousand, twenty-six".

Divisors: 1 2 3 6 7 14 21 41 42 49 82 98 123 147 246 287 294 343 574 686 861 1029 1217 1722 2009 2058 2434 3651 4018 6027 7302 8519 12054 14063 17038 25557 28126 42189 49897 51114 59633 84378 99794 119266 149691 178899 299382 349279 357798 417431 698558 834862 1047837 1252293 2095674 2444953 2504586 4889906 7334859 14669718 17114671 34229342 51344013 102688026