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102660684 = 22372237591
BaseRepresentation
bin1100001111001…
…11101001001100
321011011200222120
412013213221030
5202240120214
614104212540
72354413200
oct607475114
9234150876
10102660684
1152a49545
122a46a150
1318365889
14d8c4b00
15902cea9
hex61e7a4c

102660684 has 72 divisors (see below), whose sum is σ = 290803968. Its totient is φ = 28052640.

The previous prime is 102660673. The next prime is 102660689. The reversal of 102660684 is 486066201.

It is a happy number.

102660684 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

102660684 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (102660689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9729 + ... + 17319.

It is an arithmetic number, because the mean of its divisors is an integer number (4038944).

Almost surely, 2102660684 is an apocalyptic number.

102660684 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102660684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145401984).

102660684 is an abundant number, since it is smaller than the sum of its proper divisors (188143284).

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

102660684 is a wasteful number, since it uses less digits than its factorization.

102660684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7635 (or 7626 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 102660684 is about 10132.1608751539. The cubic root of 102660684 is about 468.2395041178.

The spelling of 102660684 in words is "one hundred two million, six hundred sixty thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 138 147 161 196 276 294 322 483 588 644 966 1127 1932 2254 3381 4508 6762 7591 13524 15182 22773 30364 45546 53137 91092 106274 159411 174593 212548 318822 349186 371959 523779 637644 698372 743918 1047558 1115877 1222151 1487836 2095116 2231754 2444302 3666453 4463508 4888604 7332906 8555057 14665812 17110114 25665171 34220228 51330342 102660684