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145068840 = 23335731619
BaseRepresentation
bin10001010010110…
…01001100101000
3101002222021001000
420221121030220
5244114200330
622221155000
73411031140
oct1051311450
9332867030
10145068840
1174984404
12406bba60
1324093567
14153a3920
15cb08560
hex8a59328

145068840 has 256 divisors, whose sum is σ = 571392000. Its totient is φ = 32037120.

The previous prime is 145068839. The next prime is 145068841. The reversal of 145068840 is 48860541.

It is an interprime number because it is at equal distance from previous prime (145068839) and next prime (145068841).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 145068795 and 145068804.

It is not an unprimeable number, because it can be changed into a prime (145068841) 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 63 ways as a sum of consecutive naturals, for example, 234051 + ... + 234669.

It is an arithmetic number, because the mean of its divisors is an integer number (2232000).

Almost surely, 2145068840 is an apocalyptic number.

145068840 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 145068840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285696000).

145068840 is an abundant number, since it is smaller than the sum of its proper divisors (426323160).

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

145068840 is a wasteful number, since it uses less digits than its factorization.

145068840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 145068840 is about 12044.4526650238. The cubic root of 145068840 is about 525.4419136334.

The spelling of 145068840 in words is "one hundred forty-five million, sixty-eight thousand, eight hundred forty".