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145800045 = 32517411861
BaseRepresentation
bin10001011000010…
…11101101101101
3101011100102001200
420230023231231
5244311100140
622245000113
73420165006
oct1054135555
9334312050
10145800045
1175333806
12409b3039
132428b321
14155141ad
15cc00030
hex8b0bb6d

145800045 has 24 divisors (see below), whose sum is σ = 253001112. Its totient is φ = 77673600.

The previous prime is 145800043. The next prime is 145800071. The reversal of 145800045 is 540008541.

It can be written as a sum of positive squares in 4 ways, for example, as 25371369 + 120428676 = 5037^2 + 10974^2 .

It is not a de Polignac number, because 145800045 - 21 = 145800043 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 145799991 and 145800018.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145800043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77415 + ... + 79275.

It is an arithmetic number, because the mean of its divisors is an integer number (10541713).

Almost surely, 2145800045 is an apocalyptic number.

145800045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145800045 is a deficient number, since it is larger than the sum of its proper divisors (107201067).

145800045 is a wasteful number, since it uses less digits than its factorization.

145800045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3613 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 145800045 is about 12074.7689418887. The cubic root of 145800045 is about 526.3232470268.

Adding to 145800045 its reverse (540008541), we get a palindrome (685808586).

It can be divided in two parts, 1458000 and 45, that multiplied together give a 4-th power (65610000 = 904).

The spelling of 145800045 in words is "one hundred forty-five million, eight hundred thousand, forty-five".

Divisors: 1 3 5 9 15 45 1741 1861 5223 5583 8705 9305 15669 16749 26115 27915 78345 83745 3240001 9720003 16200005 29160009 48600015 145800045