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145747540 = 22559312289
BaseRepresentation
bin10001010111111…
…10111001010100
3101011020202001001
420223332321110
5244302410130
622243513044
73416555641
oct1053767124
9334222031
10145747540
11752a8314
1240988784
1324270463
14154dcdc8
15cbde6ca
hex8afee54

145747540 has 24 divisors (see below), whose sum is σ = 306610920. Its totient is φ = 58195968.

The previous prime is 145747531. The next prime is 145747543. The reversal of 145747540 is 45747541.

It can be written as a sum of positive squares in 4 ways, for example, as 39162564 + 106584976 = 6258^2 + 10324^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 145747540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145747543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5716 + ... + 18004.

It is an arithmetic number, because the mean of its divisors is an integer number (12775455).

Almost surely, 2145747540 is an apocalyptic number.

145747540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145747540 is an abundant number, since it is smaller than the sum of its proper divisors (160863380).

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

145747540 is a wasteful number, since it uses less digits than its factorization.

145747540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12891 (or 12889 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 37.

The square root of 145747540 is about 12072.5945844296. The cubic root of 145747540 is about 526.2600602151.

Subtracting from 145747540 its reverse (45747541), we obtain a palindrome (99999999).

The spelling of 145747540 in words is "one hundred forty-five million, seven hundred forty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 593 1186 2372 2965 5930 11860 12289 24578 49156 61445 122890 245780 7287377 14574754 29149508 36436885 72873770 145747540