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102026466 = 2361929127
BaseRepresentation
bin1100001010011…
…00110011100010
321002222111000000
412011030303202
5202104321331
614042440430
72346132153
oct605146342
9232874000
10102026466
1152655aa3
122a203116
13181a2cb9
14d79b92a
158e550e6
hex614cce2

102026466 has 112 divisors (see below), whose sum is σ = 251827200. Its totient is φ = 30862944.

The previous prime is 102026389. The next prime is 102026467. The reversal of 102026466 is 664620201.

It is a happy number.

102026466 is a `hidden beast` number, since 10 + 2 + 0 + 2 + 646 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (102026467) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 803295 + ... + 803421.

Almost surely, 2102026466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102026466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125913600).

102026466 is an abundant number, since it is smaller than the sum of its proper divisors (149800734).

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

102026466 is a wasteful number, since it uses less digits than its factorization.

102026466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 102026466 is about 10100.8151156231. The cubic root of 102026466 is about 467.2732804037.

Adding to 102026466 its reverse (664620201), we get a palindrome (766646667).

The spelling of 102026466 in words is "one hundred two million, twenty-six thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 19 27 29 38 54 57 58 81 87 114 127 162 171 174 243 254 261 342 381 486 513 522 551 729 762 783 1026 1102 1143 1458 1539 1566 1653 2286 2349 2413 3078 3306 3429 3683 4617 4698 4826 4959 6858 7047 7239 7366 9234 9918 10287 11049 13851 14094 14478 14877 20574 21141 21717 22098 27702 29754 30861 33147 42282 43434 44631 61722 65151 66294 69977 89262 92583 99441 130302 133893 139954 185166 195453 198882 209931 267786 298323 390906 401679 419862 586359 596646 629793 803358 894969 1172718 1259586 1759077 1789938 1889379 2684907 3518154 3778758 5369814 5668137 11336274 17004411 34008822 51013233 102026466