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497109120 = 27352311257
BaseRepresentation
bin11101101000010…
…100100010000000
31021122101202111220
4131220110202000
52004224442440
6121154435040
715214233504
oct3550244200
91248352456
10497109120
11235672492
1211a592a80
137bcb2311
144a042304
152d9968d0
hex1da14880

497109120 has 128 divisors (see below), whose sum is σ = 1653575040. Its totient is φ = 126787584.

The previous prime is 497109071. The next prime is 497109139. The reversal of 497109120 is 21901794.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38532 + ... + 49788.

It is an arithmetic number, because the mean of its divisors is an integer number (12918555).

Almost surely, 2497109120 is an apocalyptic number.

497109120 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 497109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826787520).

497109120 is an abundant number, since it is smaller than the sum of its proper divisors (1156465920).

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

497109120 is a wasteful number, since it uses less digits than its factorization.

497109120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11302 (or 11290 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 497109120 is about 22295.9440257640. The cubic root of 497109120 is about 792.1679064475.

The spelling of 497109120 in words is "four hundred ninety-seven million, one hundred nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 276 320 345 368 384 460 480 552 640 690 736 920 960 1104 1380 1472 1840 1920 2208 2760 2944 3680 4416 5520 7360 8832 11040 11257 14720 22080 22514 33771 44160 45028 56285 67542 90056 112570 135084 168855 180112 225140 258911 270168 337710 360224 450280 517822 540336 675420 720448 776733 900560 1035644 1080672 1294555 1350840 1440896 1553466 1801120 2071288 2161344 2589110 2701680 3106932 3602240 3883665 4142576 4322688 5178220 5403360 6213864 7204480 7767330 8285152 10356440 10806720 12427728 15534660 16570304 20712880 21613440 24855456 31069320 33140608 41425760 49710912 62138640 82851520 99421824 124277280 165703040 248554560 497109120