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145205040 = 2435605021
BaseRepresentation
bin10001010011110…
…10011100110000
3101010020011212110
420221322130300
5244133030130
622224125320
73412136211
oct1051723460
9333204773
10145205040
1174a67772
1240766840
1324110556
14153db408
15cb33ab0
hex8a7a730

145205040 has 40 divisors (see below), whose sum is σ = 450136368. Its totient is φ = 38721280.

The previous prime is 145205033. The next prime is 145205063. The reversal of 145205040 is 40502541.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 145204998 and 145205016.

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 7 ways as a sum of consecutive naturals, for example, 302271 + ... + 302750.

Almost surely, 2145205040 is an apocalyptic number.

145205040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145205040 is an abundant number, since it is smaller than the sum of its proper divisors (304931328).

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

145205040 is a wasteful number, since it uses less digits than its factorization.

145205040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605037 (or 605031 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 145205040 is about 12050.1053937300. The cubic root of 145205040 is about 525.6063018040.

Adding to 145205040 its reverse (40502541), we get a palindrome (185707581).

The spelling of 145205040 in words is "one hundred forty-five million, two hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 605021 1210042 1815063 2420084 3025105 3630126 4840168 6050210 7260252 9075315 9680336 12100420 14520504 18150630 24200840 29041008 36301260 48401680 72602520 145205040