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495960240 = 24352066501
BaseRepresentation
bin11101100011111…
…100000010110000
31021120020101112210
4131203330002300
52003431211430
6121114052120
715201410136
oct3543740260
91246211483
10495960240
11234a582a6
1211a11a040
137b99c3c9
1449c23756
152d81b2b0
hex1d8fc0b0

495960240 has 40 divisors (see below), whose sum is σ = 1537477488. Its totient is φ = 132256000.

The previous prime is 495960239. The next prime is 495960259. The reversal of 495960240 is 42069594.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1033011 + ... + 1033490.

Almost surely, 2495960240 is an apocalyptic number.

495960240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

495960240 is an abundant number, since it is smaller than the sum of its proper divisors (1041517248).

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

495960240 is a wasteful number, since it uses less digits than its factorization.

495960240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066517 (or 2066511 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 495960240 is about 22270.1647950795. The cubic root of 495960240 is about 791.5571700577.

The spelling of 495960240 in words is "four hundred ninety-five million, nine hundred sixty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2066501 4133002 6199503 8266004 10332505 12399006 16532008 20665010 24798012 30997515 33064016 41330020 49596024 61995030 82660040 99192048 123990060 165320080 247980120 495960240