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36128128 = 271716603
BaseRepresentation
bin1000100111010…
…0010110000000
32111222111110211
42021310112000
533222100003
63330203504
7616040551
oct211642600
974874424
1036128128
1119436663
1210123594
13763c3ba
144b26328
15328996d
hex2274580

36128128 has 32 divisors (see below), whose sum is σ = 76212360. Its totient is φ = 17000448.

The previous prime is 36128123. The next prime is 36128129. The reversal of 36128128 is 82182163.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 36128128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36128123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6126 + ... + 10477.

Almost surely, 236128128 is an apocalyptic number.

It is an amenable number.

36128128 is an abundant number, since it is smaller than the sum of its proper divisors (40084232).

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

36128128 is a wasteful number, since it uses less digits than its factorization.

36128128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16634 (or 16622 counting only the distinct ones).

The product of its digits is 4608, while the sum is 31.

The square root of 36128128 is about 6010.6678497485. The cubic root of 36128128 is about 330.5839919336.

It can be divided in two parts, 36 and 128128, that added together give a square (128164 = 3582).

The spelling of 36128128 in words is "thirty-six million, one hundred twenty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 16603 33206 66412 132824 265648 282251 531296 564502 1062592 1129004 2125184 2258008 4516016 9032032 18064064 36128128