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102091206 = 2373113439
BaseRepresentation
bin1100001010111…
…00100111000110
321010002202210210
412011130213012
5202113404311
614044100250
72346522000
oct605344706
9233082723
10102091206
115269a6a8
122a234686
13181c65c9
14d7b7370
158e693a6
hex615c9c6

102091206 has 64 divisors (see below), whose sum is σ = 240768000. Its totient is φ = 28844928.

The previous prime is 102091201. The next prime is 102091243. The reversal of 102091206 is 602190201.

It is a super-2 number, since 2×1020912062 = 20845228685068872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102091201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232335 + ... + 232773.

It is an arithmetic number, because the mean of its divisors is an integer number (3762000).

Almost surely, 2102091206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102091206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120384000).

102091206 is an abundant number, since it is smaller than the sum of its proper divisors (138676794).

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

102091206 is a wasteful number, since it uses less digits than its factorization.

102091206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 102091206 is about 10104.0192992690. The cubic root of 102091206 is about 467.3720942280.

The spelling of 102091206 in words is "one hundred two million, ninety-one thousand, two hundred six".

Divisors: 1 2 3 6 7 14 21 42 49 98 113 147 226 294 339 343 439 678 686 791 878 1029 1317 1582 2058 2373 2634 3073 4746 5537 6146 9219 11074 16611 18438 21511 33222 38759 43022 49607 64533 77518 99214 116277 129066 148821 150577 232554 297642 301154 347249 451731 694498 903462 1041747 2083494 2430743 4861486 7292229 14584458 17015201 34030402 51045603 102091206