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102949668 = 22322859713
BaseRepresentation
bin1100010001011…
…10001100100100
321011201101101200
412020232030210
5202323342133
614114322500
72360025543
oct610561444
9234641350
10102949668
1153126678
122a589430
1318437283
14d95c15a
159088913
hex622e324

102949668 has 18 divisors (see below), whose sum is σ = 260233974. Its totient is φ = 34316544.

The previous prime is 102949607. The next prime is 102949673. The reversal of 102949668 is 866949201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 85710564 + 17239104 = 9258^2 + 4152^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1429821 + ... + 1429892.

It is an arithmetic number, because the mean of its divisors is an integer number (14457443).

Almost surely, 2102949668 is an apocalyptic number.

102949668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102949668 is an abundant number, since it is smaller than the sum of its proper divisors (157284306).

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

102949668 is a wasteful number, since it uses less digits than its factorization.

102949668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2859723 (or 2859718 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 102949668 is about 10146.4115824266. The cubic root of 102949668 is about 468.6784483853.

The spelling of 102949668 in words is "one hundred two million, nine hundred forty-nine thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2859713 5719426 8579139 11438852 17158278 25737417 34316556 51474834 102949668