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36023780 = 22513349397
BaseRepresentation
bin1000100101101…
…0110111100100
32111210012100002
42021122313210
533210230110
63324040432
7615124412
oct211326744
974705302
1036023780
1119375221
1210093118
137603a60
144ada2b2
153268aa5
hex225ade4

36023780 has 48 divisors (see below), whose sum is σ = 81908400. Its totient is φ = 13229568.

The previous prime is 36023749. The next prime is 36023783. The reversal of 36023780 is 8732063.

36023780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 119716 + 35904064 = 346^2 + 5992^2 .

It is not an unprimeable number, because it can be changed into a prime (36023783) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 90542 + ... + 90938.

It is an arithmetic number, because the mean of its divisors is an integer number (1706425).

Almost surely, 236023780 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 36023780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40954200).

36023780 is an abundant number, since it is smaller than the sum of its proper divisors (45884620).

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

36023780 is a wasteful number, since it uses less digits than its factorization.

36023780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 36023780 is about 6001.9813395245. The cubic root of 36023780 is about 330.2654124334.

The spelling of 36023780 in words is "thirty-six million, twenty-three thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 349 397 698 794 1396 1588 1745 1985 3490 3970 4537 5161 6980 7940 9074 10322 18148 20644 22685 25805 45370 51610 90740 103220 138553 277106 554212 692765 1385530 1801189 2771060 3602378 7204756 9005945 18011890 36023780