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1054422000 = 24325358579
BaseRepresentation
bin111110110110010…
…011001111110000
32201111002012001200
4332312103033300
54124413001000
6252343531200
735062303422
oct7666231760
92644065050
101054422000
114a1214945
12255159b00
1313a5b3258
14a0076812
1562881500
hex3ed933f0

1054422000 has 120 divisors (see below), whose sum is σ = 3682807440. Its totient is φ = 281174400.

The previous prime is 1054421999. The next prime is 1054422023. The reversal of 1054422000 is 2244501.

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

It is a super-4 number, since 4×10544220004 (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11290 + ... + 47289.

It is an arithmetic number, because the mean of its divisors is an integer number (30690062).

Almost surely, 21054422000 is an apocalyptic number.

1054422000 is a gapful number since it is divisible by the number (10) 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 1054422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841403720).

1054422000 is an abundant number, since it is smaller than the sum of its proper divisors (2628385440).

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

1054422000 is a wasteful number, since it uses less digits than its factorization.

1054422000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58608 (or 58589 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 1054422000 is about 32471.8647447294. The cubic root of 1054422000 is about 1017.8211853806.

Adding to 1054422000 its reverse (2244501), we get a palindrome (1056666501).

The spelling of 1054422000 in words is "one billion, fifty-four million, four hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 58579 117158 175737 234316 292895 351474 468632 527211 585790 702948 878685 937264 1054422 1171580 1405896 1464475 1757370 2108844 2343160 2636055 2811792 2928950 3514740 4217688 4393425 4686320 5272110 5857900 7029480 7322375 8435376 8786850 10544220 11715800 13180275 14058960 14644750 17573700 21088440 21967125 23431600 26360550 29289500 35147400 42176880 43934250 52721100 58579000 65901375 70294800 87868500 105442200 117158000 131802750 175737000 210884400 263605500 351474000 527211000 1054422000