Search a number
-
+
36609040 = 2451335201
BaseRepresentation
bin1000101110100…
…1110000010000
32112212221011101
42023221300100
533332442130
63344354144
7623112616
oct213516020
975787141
1036609040
1119734a06
1210315954
13777a270
144c0d6b6
1533321ca
hex22e9c10

36609040 has 40 divisors (see below), whose sum is σ = 91666008. Its totient is φ = 13516800.

The previous prime is 36609019. The next prime is 36609043. The reversal of 36609040 is 4090663.

It can be written as a sum of positive squares in 4 ways, for example, as 992016 + 35617024 = 996^2 + 5968^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (36609043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16561 + ... + 18640.

Almost surely, 236609040 is an apocalyptic number.

It is an amenable number.

36609040 is an abundant number, since it is smaller than the sum of its proper divisors (55056968).

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

36609040 is a wasteful number, since it uses less digits than its factorization.

36609040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35227 (or 35221 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 36609040 is about 6050.5404717265. The cubic root of 36609040 is about 332.0443643235.

The spelling of 36609040 in words is "thirty-six million, six hundred nine thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 35201 70402 140804 176005 281608 352010 457613 563216 704020 915226 1408040 1830452 2288065 2816080 3660904 4576130 7321808 9152260 18304520 36609040