Search a number
-
+
36768036 = 22389173199
BaseRepresentation
bin1000110001000…
…0100100100100
32120012000021010
42030100210210
533403034121
63352022220
7624344304
oct214204444
976160233
1036768036
1119833408
1210391970
137804746
144c51604
153364376
hex2310924

36768036 has 48 divisors (see below), whose sum is σ = 87696000. Its totient is φ = 11987712.

The previous prime is 36767971. The next prime is 36768037. The reversal of 36768036 is 63086763.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 36767985 and 36768003.

It is not an unprimeable number, because it can be changed into a prime (36768037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184665 + ... + 184863.

It is an arithmetic number, because the mean of its divisors is an integer number (1827000).

Almost surely, 236768036 is an apocalyptic number.

It is an amenable number.

36768036 is an abundant number, since it is smaller than the sum of its proper divisors (50927964).

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

36768036 is a wasteful number, since it uses less digits than its factorization.

36768036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 36768036 is about 6063.6652282262. The cubic root of 36768036 is about 332.5243685383.

The spelling of 36768036 in words is "thirty-six million, seven hundred sixty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 12 89 173 178 199 267 346 356 398 519 534 597 692 796 1038 1068 1194 2076 2388 15397 17711 30794 34427 35422 46191 53133 61588 68854 70844 92382 103281 106266 137708 184764 206562 212532 413124 3064003 6128006 9192009 12256012 18384018 36768036