Search a number
-
+
36763740 = 22335135237
BaseRepresentation
bin1000110000111…
…1100001011100
32120011210101000
42030033201130
533402414430
63351550300
7624325626
oct214174134
976153330
1036763740
1119830162
121038b390
1378027c0
144c4dc16
153362e60
hex230f85c

36763740 has 96 divisors (see below), whose sum is σ = 123197760. Its totient is φ = 9047808.

The previous prime is 36763739. The next prime is 36763747. The reversal of 36763740 is 4736763.

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

It is a junction number, because it is equal to n+sod(n) for n = 36763695 and 36763704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36763747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4402 + ... + 9638.

It is an arithmetic number, because the mean of its divisors is an integer number (1283310).

Almost surely, 236763740 is an apocalyptic number.

36763740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36763740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61598880).

36763740 is an abundant number, since it is smaller than the sum of its proper divisors (86434020).

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

36763740 is a wasteful number, since it uses less digits than its factorization.

36763740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5268 (or 5260 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 36763740 is about 6063.3109766859. The cubic root of 36763740 is about 332.5114172498.

The spelling of 36763740 in words is "thirty-six million, seven hundred sixty-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 5237 7020 10474 15711 20948 26185 31422 47133 52370 62844 68081 78555 94266 104740 136162 141399 157110 188532 204243 235665 272324 282798 314220 340405 408486 471330 565596 612729 680810 706995 816972 942660 1021215 1225458 1361620 1413990 1838187 2042430 2450916 2827980 3063645 3676374 4084860 6127290 7352748 9190935 12254580 18381870 36763740