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102067086 = 231197107149
BaseRepresentation
bin1100001010101…
…10101110001110
321010001112201110
412011112232032
5202112121321
614043352450
72346361452
oct605265616
9233045643
10102067086
1152683570
122a222726
13181b8634
14d7ac662
158e62176
hex6156b8e

102067086 has 64 divisors (see below), whose sum is σ = 228614400. Its totient is φ = 30120960.

The previous prime is 102067073. The next prime is 102067087. The reversal of 102067086 is 680760201.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102067087) 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, 684940 + ... + 685088.

It is an arithmetic number, because the mean of its divisors is an integer number (3572100).

Almost surely, 2102067086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102067086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114307200).

102067086 is an abundant number, since it is smaller than the sum of its proper divisors (126547314).

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

102067086 is a wasteful number, since it uses less digits than its factorization.

102067086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 102067086 is about 10102.8256443433. The cubic root of 102067086 is about 467.3352843229.

The spelling of 102067086 in words is "one hundred two million, sixty-seven thousand, eighty-six".

Divisors: 1 2 3 6 11 22 33 66 97 107 149 194 214 291 298 321 447 582 642 894 1067 1177 1639 2134 2354 3201 3278 3531 4917 6402 7062 9834 10379 14453 15943 20758 28906 31137 31886 43359 47829 62274 86718 95658 114169 158983 175373 228338 317966 342507 350746 476949 526119 685014 953898 1052238 1546471 3092942 4639413 9278826 17011181 34022362 51033543 102067086