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106253360 = 2451328167
BaseRepresentation
bin1100101010101…
…00110000110000
321101221020012122
412111110300300
5204200101420
614313213412
72430065363
oct625246060
9241836178
10106253360
1154a827a4
122b701268
1319022c15
141017c0da
1594dc725
hex6554c30

106253360 has 20 divisors (see below), whose sum is σ = 247039248. Its totient is φ = 42501312.

The previous prime is 106253333. The next prime is 106253369. The reversal of 106253360 is 63352601.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1062533602 = 22579553022579200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106253369) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 664004 + ... + 664163.

Almost surely, 2106253360 is an apocalyptic number.

106253360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106253360 is an abundant number, since it is smaller than the sum of its proper divisors (140785888).

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

106253360 is a wasteful number, since it uses less digits than its factorization.

106253360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328180 (or 1328174 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 106253360 is about 10307.9270466957. The cubic root of 106253360 is about 473.6391112012.

The spelling of 106253360 in words is "one hundred six million, two hundred fifty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1328167 2656334 5312668 6640835 10625336 13281670 21250672 26563340 53126680 106253360