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106282480 = 2451328531
BaseRepresentation
bin1100101010110…
…11110111110000
321101222201011011
412111123313300
5204202014410
614314000304
72430246313
oct625336760
9241881134
10106282480
1154aa2667
122b716094
1319033255
141018897a
1594e618a
hex655bdf0

106282480 has 20 divisors (see below), whose sum is σ = 247106952. Its totient is φ = 42512960.

The previous prime is 106282459. The next prime is 106282483. The reversal of 106282480 is 84282601.

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

It is a super-2 number, since 2×1062824802 = 22591931109900800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106282483) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 664186 + ... + 664345.

Almost surely, 2106282480 is an apocalyptic number.

106282480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106282480 is an abundant number, since it is smaller than the sum of its proper divisors (140824472).

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

106282480 is a wasteful number, since it uses less digits than its factorization.

106282480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328544 (or 1328538 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 106282480 is about 10309.3394550766. The cubic root of 106282480 is about 473.6823760639.

The spelling of 106282480 in words is "one hundred six million, two hundred eighty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1328531 2657062 5314124 6642655 10628248 13285310 21256496 26570620 53141240 106282480