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145730144 = 257650581
BaseRepresentation
bin10001010111110…
…10101001100000
3101011012212011202
420223322221200
5244301331034
622243300332
73416454140
oct1053725140
9334185152
10145730144
117529623a
124097a6a8
1324265571
14154d6920
15cbd947e
hex8afaa60

145730144 has 24 divisors (see below), whose sum is σ = 327893328. Its totient is φ = 62455680.

The previous prime is 145730131. The next prime is 145730197. The reversal of 145730144 is 441037541.

It is a happy number.

It is a super-3 number, since 3×1457301443 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 325067 + ... + 325514.

It is an arithmetic number, because the mean of its divisors is an integer number (13662222).

Almost surely, 2145730144 is an apocalyptic number.

145730144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

145730144 is an abundant number, since it is smaller than the sum of its proper divisors (182163184).

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

145730144 is an equidigital number, since it uses as much as digits as its factorization.

145730144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650598 (or 650590 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 145730144 is about 12071.8740881439. The cubic root of 145730144 is about 526.2391217616.

Adding to 145730144 its reverse (441037541), we get a palindrome (586767685).

The spelling of 145730144 in words is "one hundred forty-five million, seven hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 650581 1301162 2602324 4554067 5204648 9108134 10409296 18216268 20818592 36432536 72865072 145730144