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106450320 = 2435443543
BaseRepresentation
bin1100101100001…
…00110110010000
321102022020101110
412112010312100
5204222402240
614321333320
72431545534
oct626046620
9242266343
10106450320
11550a7779
122b797240
1319091772
14101cdbc4
15952ac80
hex6584d90

106450320 has 40 divisors (see below), whose sum is σ = 329996736. Its totient is φ = 28386688.

The previous prime is 106450313. The next prime is 106450403. The reversal of 106450320 is 23054601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1064503202 = 22663341256204800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 221532 + ... + 222011.

Almost surely, 2106450320 is an apocalyptic number.

106450320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106450320 is an abundant number, since it is smaller than the sum of its proper divisors (223546416).

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

106450320 is a wasteful number, since it uses less digits than its factorization.

106450320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443559 (or 443553 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 106450320 is about 10317.4764356406. The cubic root of 106450320 is about 473.9315894078.

The spelling of 106450320 in words is "one hundred six million, four hundred fifty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 443543 887086 1330629 1774172 2217715 2661258 3548344 4435430 5322516 6653145 7096688 8870860 10645032 13306290 17741720 21290064 26612580 35483440 53225160 106450320