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145206360 = 2332513192371
BaseRepresentation
bin10001010011110…
…10110001011000
3101010020020200100
420221322301120
5244133100420
622224135400
73412143105
oct1051726130
9333206610
10145206360
1174a68762
1240767560
1324111030
14153dbaac
15cb34190
hex8a7ac58

145206360 has 384 divisors, whose sum is σ = 566092800. Its totient is φ = 31933440.

The previous prime is 145206343. The next prime is 145206377. The reversal of 145206360 is 63602541.

145206360 is a `hidden beast` number, since 1 + 4 + 5 + 20 + 636 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (145206343) and next prime (145206377).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2045125 + ... + 2045195.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2145206360 is an apocalyptic number.

145206360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145206360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283046400).

145206360 is an abundant number, since it is smaller than the sum of its proper divisors (420886440).

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

145206360 is a wasteful number, since it uses less digits than its factorization.

145206360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 145206360 is about 12050.1601649107. The cubic root of 145206360 is about 525.6078944902.

The spelling of 145206360 in words is "one hundred forty-five million, two hundred six thousand, three hundred sixty".