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145205436 = 223294110177
BaseRepresentation
bin10001010011110…
…10100010111100
3101010020012102010
420221322202330
5244133033221
622224131220
73412140315
oct1051724274
9333205363
10145205436
1174a67aa2
1240766b10
132411079c
14153db60c
15cb33c76
hex8a7a8bc

145205436 has 48 divisors (see below), whose sum is σ = 359079840. Its totient is φ = 45588480.

The previous prime is 145205413. The next prime is 145205441. The reversal of 145205436 is 634502541.

145205436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9180 + ... + 19356.

It is an arithmetic number, because the mean of its divisors is an integer number (7480830).

Almost surely, 2145205436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145205436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179539920).

145205436 is an abundant number, since it is smaller than the sum of its proper divisors (213874404).

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

145205436 is a wasteful number, since it uses less digits than its factorization.

145205436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10254 (or 10252 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 145205436 is about 12050.1218251103. The cubic root of 145205436 is about 525.6067796109.

Adding to 145205436 its reverse (634502541), we get a palindrome (779707977).

The spelling of 145205436 in words is "one hundred forty-five million, two hundred five thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 29 41 58 82 87 116 123 164 174 246 348 492 1189 2378 3567 4756 7134 10177 14268 20354 30531 40708 61062 122124 295133 417257 590266 834514 885399 1180532 1251771 1669028 1770798 2503542 3541596 5007084 12100453 24200906 36301359 48401812 72602718 145205436