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490160000 = 275411557
BaseRepresentation
bin11101001101110…
…011111110000000
31021011022201010002
4131031303332000
52000440110000
6120345455132
715101201621
oct3515637600
91234281102
10490160000
11231756510
121181a14a8
137a71b305
1449153a48
152d0728d5
hex1d373f80

490160000 has 160 divisors (see below), whose sum is σ = 1333541880. Its totient is φ = 177920000.

The previous prime is 490159991. The next prime is 490160017. The reversal of 490160000 is 61094.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 879722 + ... + 880278.

Almost surely, 2490160000 is an apocalyptic number.

490160000 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 490160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666770940).

490160000 is an abundant number, since it is smaller than the sum of its proper divisors (843381880).

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

490160000 is an equidigital number, since it uses as much as digits as its factorization.

490160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 490160000 is about 22139.5573578154. The cubic root of 490160000 is about 788.4593163347.

The spelling of 490160000 in words is "four hundred ninety million, one hundred sixty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 557 625 640 704 800 880 1000 1100 1114 1250 1375 1408 1600 1760 2000 2200 2228 2500 2750 2785 3200 3520 4000 4400 4456 5000 5500 5570 6127 6875 7040 8000 8800 8912 10000 11000 11140 12254 13750 13925 16000 17600 17824 20000 22000 22280 24508 27500 27850 30635 35200 35648 40000 44000 44560 49016 55000 55700 61270 69625 71296 80000 88000 89120 98032 110000 111400 122540 139250 153175 176000 178240 196064 220000 222800 245080 278500 306350 348125 356480 392128 440000 445600 490160 557000 612700 696250 765875 784256 880000 891200 980320 1114000 1225400 1392500 1531750 1782400 1960640 2228000 2450800 2785000 3063500 3829375 3921280 4456000 4901600 5570000 6127000 7658750 8912000 9803200 11140000 12254000 15317500 19606400 22280000 24508000 30635000 44560000 49016000 61270000 98032000 122540000 245080000 490160000