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495000720 = 2435525463
BaseRepresentation
bin11101100000010…
…001110010010000
31021111102122100000
4131200101302100
52003210010340
6121041330000
715160302534
oct3540216220
91244378300
10495000720
11234462405
12119936900
137b724746
1449a53bc4
152d6cbd30
hex1d811c90

495000720 has 120 divisors (see below), whose sum is σ = 1724014656. Its totient is φ = 131995008.

The previous prime is 495000703. The next prime is 495000721. The reversal of 495000720 is 27000594.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (495000721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6709 + ... + 32171.

Almost surely, 2495000720 is an apocalyptic number.

495000720 is a gapful number since it is divisible by the number (40) 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 495000720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862007328).

495000720 is an abundant number, since it is smaller than the sum of its proper divisors (1229013936).

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

495000720 is a wasteful number, since it uses less digits than its factorization.

495000720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25491 (or 25473 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 495000720 is about 22248.6116420778. The cubic root of 495000720 is about 791.0463728838.

The spelling of 495000720 in words is "four hundred ninety-five million, seven hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 19440 25463 50926 76389 101852 127315 152778 203704 229167 254630 305556 381945 407408 458334 509260 611112 687501 763890 916668 1018520 1145835 1222224 1375002 1527780 1833336 2037040 2062503 2291670 2750004 3055560 3437505 3666672 4125006 4583340 5500008 6111120 6187509 6875010 8250012 9166680 10312515 11000016 12375018 13750020 16500024 18333360 20625030 24750036 27500040 30937545 33000048 41250060 49500072 55000080 61875090 82500120 99000144 123750180 165000240 247500360 495000720