Search a number
-
+
36760230 = 2345133491
BaseRepresentation
bin1000110000111…
…0101010100110
32120011121120000
42030032222212
533402311410
63351522130
7624312453
oct214165246
976147500
1036760230
1119828561
1210389346
137801020
144c4c82a
153361dc0
hex230eaa6

36760230 has 80 divisors (see below), whose sum is σ = 106478064. Its totient is φ = 9046080.

The previous prime is 36760223. The next prime is 36760267. The reversal of 36760230 is 3206763.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 36760194 and 36760203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8785 + ... + 12275.

Almost surely, 236760230 is an apocalyptic number.

36760230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36760230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53239032).

36760230 is an abundant number, since it is smaller than the sum of its proper divisors (69717834).

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

36760230 is a wasteful number, since it uses less digits than its factorization.

36760230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3523 (or 3514 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 36760230 is about 6063.0215239598. The cubic root of 36760230 is about 332.5008347917.

Adding to 36760230 its reverse (3206763), we get a palindrome (39966993).

The spelling of 36760230 in words is "thirty-six million, seven hundred sixty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 702 810 1053 1170 1755 2106 3491 3510 5265 6982 10473 10530 17455 20946 31419 34910 45383 52365 62838 90766 94257 104730 136149 157095 188514 226915 272298 282771 314190 408447 453830 471285 565542 680745 816894 942570 1225341 1361490 1413855 2042235 2450682 2827710 3676023 4084470 6126705 7352046 12253410 18380115 36760230