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3640525740 = 2232520225143
BaseRepresentation
bin1101100011111110…
…0000001110101100
3100101201021212110200
43120333200032230
524423433310430
61401125033500
7156133646445
oct33077401654
910351255420
103640525740
1115a8a88965
12857255890
134602cc057
142676dc2cc
15164919460
hexd8fe03ac

3640525740 has 36 divisors (see below), whose sum is σ = 11042928624. Its totient is φ = 970806816.

The previous prime is 3640525729. The next prime is 3640525747. The reversal of 3640525740 is 475250463.

3640525740 is a `hidden beast` number, since 3 + 64 + 0 + 525 + 74 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×36405257403 (a number of 30 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3640525695 and 3640525704.

It is not an unprimeable number, because it can be changed into a prime (3640525747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10112392 + ... + 10112751.

Almost surely, 23640525740 is an apocalyptic number.

3640525740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3640525740 is an abundant number, since it is smaller than the sum of its proper divisors (7402402884).

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

3640525740 is a wasteful number, since it uses less digits than its factorization.

3640525740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20225158 (or 20225153 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 3640525740 is about 60336.7693865026. The cubic root of 3640525740 is about 1538.3483923699.

The spelling of 3640525740 in words is "three billion, six hundred forty million, five hundred twenty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 20225143 40450286 60675429 80900572 101125715 121350858 182026287 202251430 242701716 303377145 364052574 404502860 606754290 728105148 910131435 1213508580 1820262870 3640525740