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1055104000 = 210538243
BaseRepresentation
bin111110111000111…
…001110000000000
32201112100211120221
4332320321300000
54130101312000
6252410312424
735101143646
oct7670716000
92645324527
101055104000
114a1640285
12255428714
1313a7917c2
14a01b3196
156296861a
hex3ee39c00

1055104000 has 88 divisors (see below), whose sum is σ = 2632573008. Its totient is φ = 421990400.

The previous prime is 1055103971. The next prime is 1055104009. The reversal of 1055104000 is 4015501.

It is a happy number.

It is a super-2 number, since 2×10551040002 = 2226488901632000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055104009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123879 + ... + 132121.

Almost surely, 21055104000 is an apocalyptic number.

1055104000 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 1055104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316286504).

1055104000 is an abundant number, since it is smaller than the sum of its proper divisors (1577469008).

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

1055104000 is an frugal number, since it uses more digits than its factorization.

1055104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8278 (or 8250 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 1055104000 is about 32482.3644459574. The cubic root of 1055104000 is about 1018.0405802853.

Adding to 1055104000 its reverse (4015501), we get a palindrome (1059119501).

The spelling of 1055104000 in words is "one billion, fifty-five million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1024 1280 1600 2000 2560 3200 4000 5120 6400 8000 8243 12800 16000 16486 25600 32000 32972 41215 64000 65944 82430 128000 131888 164860 206075 263776 329720 412150 527552 659440 824300 1030375 1055104 1318880 1648600 2060750 2110208 2637760 3297200 4121500 4220416 5275520 6594400 8243000 8440832 10551040 13188800 16486000 21102080 26377600 32972000 42204160 52755200 65944000 105510400 131888000 211020800 263776000 527552000 1055104000