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145083636 = 2235295147
BaseRepresentation
bin10001010010111…
…00110011110100
3101010000000100000
420221130303310
5244120134021
622221351300
73411122235
oct1051346364
9333000300
10145083636
1174994535
1240708530
132409a209
14153a908c
15cb0cb26
hex8a5ccf4

145083636 has 72 divisors (see below), whose sum is σ = 393513120. Its totient is φ = 46684512.

The previous prime is 145083599. The next prime is 145083641. The reversal of 145083636 is 636380541.

145083636 is a `hidden beast` number, since 14 + 5 + 0 + 8 + 3 + 636 = 666.

145083636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1450836362 = 42098522869960992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 145083636.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25615 + ... + 30761.

It is an arithmetic number, because the mean of its divisors is an integer number (5465460).

Almost surely, 2145083636 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 145083636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196756560).

145083636 is an abundant number, since it is smaller than the sum of its proper divisors (248429484).

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

145083636 is a wasteful number, since it uses less digits than its factorization.

145083636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5195 (or 5181 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 145083636 is about 12045.0668740360. The cubic root of 145083636 is about 525.4597768177.

The spelling of 145083636 in words is "one hundred forty-five million, eighty-three thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 243 261 324 348 486 522 783 972 1044 1566 2349 3132 4698 5147 7047 9396 10294 14094 15441 20588 28188 30882 46323 61764 92646 138969 149263 185292 277938 298526 416907 447789 555876 597052 833814 895578 1250721 1343367 1667628 1791156 2501442 2686734 4030101 5002884 5373468 8060202 12090303 16120404 24180606 36270909 48361212 72541818 145083636