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106667208 = 23321481489
BaseRepresentation
bin1100101101110…
…01110011001000
321102201020220100
412112321303020
5204301322313
614330125400
72433441054
oct626716310
9242636810
10106667208
115523571a
122b880860
13191393bb
1410248c64
159570173
hex65b9cc8

106667208 has 24 divisors (see below), whose sum is σ = 288890550. Its totient is φ = 35555712.

The previous prime is 106667207. The next prime is 106667227. The reversal of 106667208 is 802766601.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 55086084 + 51581124 = 7422^2 + 7182^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1066672082 = 22755786525030528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106667207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 740673 + ... + 740816.

Almost surely, 2106667208 is an apocalyptic number.

106667208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106667208 is an abundant number, since it is smaller than the sum of its proper divisors (182223342).

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

106667208 is a wasteful number, since it uses less digits than its factorization.

106667208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481501 (or 1481494 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 106667208 is about 10327.9817970405. The cubic root of 106667208 is about 474.2532428744.

The spelling of 106667208 in words is "one hundred six million, six hundred sixty-seven thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1481489 2962978 4444467 5925956 8888934 11851912 13333401 17777868 26666802 35555736 53333604 106667208