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36781420 = 22513241587
BaseRepresentation
bin1000110001001…
…1110101101100
32120012200121211
42030103311230
533404001140
63352204204
7624431314
oct214236554
976180554
1036781420
1119842475
1210399664
13780a870
144c56444
1533682ea
hex2313d6c

36781420 has 48 divisors (see below), whose sum is σ = 83670048. Its totient is φ = 13501440.

The previous prime is 36781411. The next prime is 36781427. The reversal of 36781420 is 2418763.

36781420 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 not an unprimeable number, because it can be changed into a prime (36781427) 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, 62367 + ... + 62953.

It is an arithmetic number, because the mean of its divisors is an integer number (1743126).

It is a vampire number, since it can be written as 48207631 (with its own digits).

Almost surely, 236781420 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 36781420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41835024).

36781420 is an abundant number, since it is smaller than the sum of its proper divisors (46888628).

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

36781420 is a wasteful number, since it uses less digits than its factorization.

36781420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 36781420 is about 6064.7687507439. The cubic root of 36781420 is about 332.5647112447.

It can be divided in two parts, 36 and 781420, that added together give a square (781456 = 8842).

The spelling of 36781420 in words is "thirty-six million, seven hundred eighty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 241 260 482 587 964 1174 1205 2348 2410 2935 3133 4820 5870 6266 7631 11740 12532 15262 15665 30524 31330 38155 62660 76310 141467 152620 282934 565868 707335 1414670 1839071 2829340 3678142 7356284 9195355 18390710 36781420