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145406565 = 3255935449
BaseRepresentation
bin10001010101010…
…11101001100101
3101010121102022100
420222223221211
5244211002230
622232322313
73413635563
oct1052535145
9333542270
10145406565
1175095117
1240843399
13241811b5
1415450a33
15cb73660
hex8aaba65

145406565 has 24 divisors (see below), whose sum is σ = 252509400. Its totient is φ = 77405184.

The previous prime is 145406561. The next prime is 145406587. The reversal of 145406565 is 565604541.

145406565 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3272481 + 142134084 = 1809^2 + 11922^2 .

It is not a de Polignac number, because 145406565 - 22 = 145406561 is a prime.

It is a super-2 number, since 2×1454065652 = 42286138290198450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145406561) 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, 23961 + ... + 29409.

It is an arithmetic number, because the mean of its divisors is an integer number (10521225).

Almost surely, 2145406565 is an apocalyptic number.

145406565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145406565 is a deficient number, since it is larger than the sum of its proper divisors (107102835).

145406565 is a wasteful number, since it uses less digits than its factorization.

145406565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6053 (or 6050 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 145406565 is about 12058.4644544818. The cubic root of 145406565 is about 525.8493462730.

The spelling of 145406565 in words is "one hundred forty-five million, four hundred six thousand, five hundred sixty-five".

Divisors: 1 3 5 9 15 45 593 1779 2965 5337 5449 8895 16347 26685 27245 49041 81735 245205 3231257 9693771 16156285 29081313 48468855 145406565