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106673958 = 23214274153
BaseRepresentation
bin1100101101110…
…11011100100110
321102201121011100
412112323130212
5204302031313
614330220530
72433466536
oct626733446
9242647140
10106673958
115523a7a6
122b884746
131913c4b1
141024b4c6
159572173
hex65bb726

106673958 has 24 divisors (see below), whose sum is σ = 231344568. Its totient is φ = 35524512.

The previous prime is 106673939. The next prime is 106673969. The reversal of 106673958 is 859376601.

It is a happy number.

It is a super-2 number, since 2×1066739582 = 22758666630771528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23610 + ... + 27762.

It is an arithmetic number, because the mean of its divisors is an integer number (9639357).

Almost surely, 2106673958 is an apocalyptic number.

106673958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

106673958 is an abundant number, since it is smaller than the sum of its proper divisors (124670610).

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

106673958 is a wasteful number, since it uses less digits than its factorization.

106673958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5588 (or 5585 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 106673958 is about 10328.3085740115. The cubic root of 106673958 is about 474.2632463919.

The spelling of 106673958 in words is "one hundred six million, six hundred seventy-three thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 9 18 1427 2854 4153 4281 8306 8562 12459 12843 24918 25686 37377 74754 5926331 11852662 17778993 35557986 53336979 106673958