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536120040 = 233516327409
BaseRepresentation
bin11111111101001…
…000101011101000
31101100210201102210
4133331020223220
52044221320130
6125110525120
716166642121
oct3775105350
91340721383
10536120040
11255697a15
1212b6667a0
13870c08c1
14512b9048
15321005b0
hex1ff48ae8

536120040 has 64 divisors (see below), whose sum is σ = 1618286400. Its totient is φ = 142083072.

The previous prime is 536120021. The next prime is 536120051. The reversal of 536120040 is 40021635.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 536119989 and 536120016.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5856 + ... + 33264.

It is an arithmetic number, because the mean of its divisors is an integer number (25285725).

Almost surely, 2536120040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809143200).

536120040 is an abundant number, since it is smaller than the sum of its proper divisors (1082166360).

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

536120040 is a wasteful number, since it uses less digits than its factorization.

536120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27586 (or 27582 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 536120040 is about 23154.2661295926. The cubic root of 536120040 is about 812.3702558904.

Adding to 536120040 its reverse (40021635), we get a palindrome (576141675).

The spelling of 536120040 in words is "five hundred thirty-six million, one hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 163 326 489 652 815 978 1304 1630 1956 2445 3260 3912 4890 6520 9780 19560 27409 54818 82227 109636 137045 164454 219272 274090 328908 411135 548180 657816 822270 1096360 1644540 3289080 4467667 8935334 13403001 17870668 22338335 26806002 35741336 44676670 53612004 67015005 89353340 107224008 134030010 178706680 268060020 536120040