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1090794000 = 243531371327
BaseRepresentation
bin100000100000100…
…0011001000010000
32211000112002001210
41001001003020100
54213220402000
6300123300120
736013411302
oct10101031020
92730462053
101090794000
1150a7a774a
1226537a640
13144ca964a
14a4c23972
1565b68350
hex41043210

1090794000 has 160 divisors (see below), whose sum is σ = 3545058816. Its totient is φ = 288537600.

The previous prime is 1090793987. The next prime is 1090794017. The reversal of 1090794000 is 4970901.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 821337 + ... + 822663.

Almost surely, 21090794000 is an apocalyptic number.

1090794000 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 1090794000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772529408).

1090794000 is an abundant number, since it is smaller than the sum of its proper divisors (2454264816).

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

1090794000 is a wasteful number, since it uses less digits than its factorization.

1090794000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 1090794000 is about 33027.1706326776. The cubic root of 1090794000 is about 1029.3922955582.

The spelling of 1090794000 in words is "one billion, ninety million, seven hundred ninety-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 137 150 200 240 250 274 300 375 400 411 500 548 600 685 750 822 1000 1096 1200 1327 1370 1500 1644 2000 2055 2192 2654 2740 3000 3288 3425 3981 4110 5308 5480 6000 6576 6635 6850 7962 8220 10275 10616 10960 13270 13700 15924 16440 17125 19905 20550 21232 26540 27400 31848 32880 33175 34250 39810 41100 51375 53080 54800 63696 66350 68500 79620 82200 99525 102750 106160 132700 137000 159240 164400 165875 181799 199050 205500 265400 274000 318480 331750 363598 398100 411000 497625 530800 545397 663500 727196 796200 822000 908995 995250 1090794 1327000 1454392 1592400 1817990 1990500 2181588 2654000 2726985 2908784 3635980 3981000 4363176 4544975 5453970 7271960 7962000 8726352 9089950 10907940 13634925 14543920 18179900 21815880 22724875 27269850 36359800 43631760 45449750 54539700 68174625 72719600 90899500 109079400 136349250 181799000 218158800 272698500 363598000 545397000 1090794000