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36540396 = 22374177
BaseRepresentation
bin1000101101100…
…0111111101100
32112202110000000
42023120333230
533323243041
63343104300
7622405524
oct213307754
975673000
1036540396
1119698382
12102a2090
137754c49
144bd2684
15331bbb6
hex22d8fec

36540396 has 48 divisors (see below), whose sum is σ = 95926880. Its totient is φ = 12177216.

The previous prime is 36540391. The next prime is 36540407. The reversal of 36540396 is 69304563.

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

It is a self number, because there is not a number n which added to its sum of digits gives 36540396.

It is not an unprimeable number, because it can be changed into a prime (36540391) 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, 6660 + ... + 10836.

Almost surely, 236540396 is an apocalyptic number.

36540396 is a gapful number since it is divisible by the number (36) 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 36540396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47963440).

36540396 is an abundant number, since it is smaller than the sum of its proper divisors (59386484).

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

36540396 is an equidigital number, since it uses as much as digits as its factorization.

36540396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 36540396 is about 6044.8652590442. The cubic root of 36540396 is about 331.8367005501.

The spelling of 36540396 in words is "thirty-six million, five hundred forty thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4177 4374 8354 8748 12531 16708 25062 37593 50124 75186 112779 150372 225558 338337 451116 676674 1015011 1353348 2030022 3045033 4060044 6090066 9135099 12180132 18270198 36540396