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145065645 = 32515720533
BaseRepresentation
bin10001010010110…
…00011010101101
3101002222002122200
420221120122231
5244114100040
622221132113
73411015624
oct1051303255
9332862580
10145065645
1174981a6a
12406ba039
1324091c7a
14153a26bb
15cb07630
hex8a586ad

145065645 has 24 divisors (see below), whose sum is σ = 253061016. Its totient is φ = 76871808.

The previous prime is 145065643. The next prime is 145065659. The reversal of 145065645 is 546560541.

145065645 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 6 + 5 + 645 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13527684 + 131537961 = 3678^2 + 11469^2 .

It is not a de Polignac number, because 145065645 - 21 = 145065643 is a prime.

It is a super-3 number, since 3×1450656453 (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145065643) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3202 + ... + 17331.

It is an arithmetic number, because the mean of its divisors is an integer number (10544209).

Almost surely, 2145065645 is an apocalyptic number.

145065645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145065645 is a deficient number, since it is larger than the sum of its proper divisors (107995371).

145065645 is a wasteful number, since it uses less digits than its factorization.

145065645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20701 (or 20698 counting only the distinct ones).

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

The square root of 145065645 is about 12044.3200306202. The cubic root of 145065645 is about 525.4380561562.

The spelling of 145065645 in words is "one hundred forty-five million, sixty-five thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 45 157 471 785 1413 2355 7065 20533 61599 102665 184797 307995 923985 3223681 9671043 16118405 29013129 48355215 145065645