Search a number
-
+
36804540 = 22351813389
BaseRepresentation
bin1000110001100…
…1011110111100
32120020212100010
42030121132330
533410221130
63352503220
7624555603
oct214313674
976225303
1036804540
1119858883
12103aab10
137818246
144c60a3a
1533700b0
hex23197bc

36804540 has 48 divisors (see below), whose sum is σ = 103652640. Its totient is φ = 9757440.

The previous prime is 36804487. The next prime is 36804553. The reversal of 36804540 is 4540863.

It is a super-2 number, since 2×368045402 = 2709148329223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 36804498 and 36804507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9166 + ... + 12554.

It is an arithmetic number, because the mean of its divisors is an integer number (2159430).

Almost surely, 236804540 is an apocalyptic number.

36804540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36804540 is an abundant number, since it is smaller than the sum of its proper divisors (66848100).

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

36804540 is a wasteful number, since it uses less digits than its factorization.

36804540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3582 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 36804540 is about 6066.6745421194. The cubic root of 36804540 is about 332.6343776294.

The spelling of 36804540 in words is "thirty-six million, eight hundred four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 181 362 543 724 905 1086 1810 2172 2715 3389 3620 5430 6778 10167 10860 13556 16945 20334 33890 40668 50835 67780 101670 203340 613409 1226818 1840227 2453636 3067045 3680454 6134090 7360908 9201135 12268180 18402270 36804540