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102262006 = 271137131137
BaseRepresentation
bin1100001100001…
…10010011110110
321010102110002201
412012012103312
5202134341011
614051455114
72351132650
oct606062366
9233373081
10102262006
11527a6a60
122a2b749a
1318256282
14d81d6d0
158e9ecc1
hex61864f6

102262006 has 64 divisors (see below), whose sum is σ = 199355904. Its totient is φ = 38188800.

The previous prime is 102262003. The next prime is 102262031. The reversal of 102262006 is 600262201.

It is a super-2 number, since 2×1022620062 = 20915035742288072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102262003) 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, 746370 + ... + 746506.

It is an arithmetic number, because the mean of its divisors is an integer number (3114936).

Almost surely, 2102262006 is an apocalyptic number.

102262006 is a deficient number, since it is larger than the sum of its proper divisors (97093898).

102262006 is a wasteful number, since it uses less digits than its factorization.

102262006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 102262006 is about 10112.4678491454. The cubic root of 102262006 is about 467.6325890046.

It can be divided in two parts, 10 and 2262006, that added together give a square (2262016 = 15042).

The spelling of 102262006 in words is "one hundred two million, two hundred sixty-two thousand, six".

Divisors: 1 2 7 11 14 22 37 74 77 131 137 154 259 262 274 407 518 814 917 959 1441 1507 1834 1918 2849 2882 3014 4847 5069 5698 9694 10087 10138 10549 17947 20174 21098 33929 35483 35894 53317 55759 67858 70966 106634 111518 125629 197417 251258 373219 390313 394834 664039 746438 780626 1328078 1381919 2763838 4648273 7304429 9296546 14608858 51131003 102262006