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1055540000 = 255489593
BaseRepresentation
bin111110111010100…
…100001100100000
32201120011222200002
4332322210030200
54130204240000
6252423515132
735104641044
oct7672441440
92646158602
101055540000
114a1908909
122555b8aa8
1313a8b50a8
14a0288024
1562a028d5
hex3eea4320

1055540000 has 120 divisors (see below), whose sum is σ = 2630392380. Its totient is φ = 416768000.

The previous prime is 1055539993. The next prime is 1055540009. The reversal of 1055540000 is 455501.

It can be written as a sum of positive squares in 10 ways, for example, as 153859216 + 901680784 = 12404^2 + 30028^2 .

It is a super-2 number, since 2×10555400002 = 2228329383200000000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1055540009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1779704 + ... + 1780296.

Almost surely, 21055540000 is an apocalyptic number.

1055540000 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 1055540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315196190).

1055540000 is an abundant number, since it is smaller than the sum of its proper divisors (1574852380).

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

1055540000 is an frugal number, since it uses more digits than its factorization.

1055540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 1055540000 is about 32489.0750868657. The cubic root of 1055540000 is about 1018.1807890760.

Adding to 1055540000 its reverse (455501), we get a palindrome (1055995501).

The spelling of 1055540000 in words is "one billion, fifty-five million, five hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 89 100 125 160 178 200 250 356 400 445 500 593 625 712 800 890 1000 1186 1250 1424 1780 2000 2225 2372 2500 2848 2965 3560 4000 4450 4744 5000 5930 7120 8900 9488 10000 11125 11860 14240 14825 17800 18976 20000 22250 23720 29650 35600 44500 47440 52777 55625 59300 71200 74125 89000 94880 105554 111250 118600 148250 178000 211108 222500 237200 263885 296500 356000 370625 422216 445000 474400 527770 593000 741250 844432 890000 1055540 1186000 1319425 1482500 1688864 1780000 2111080 2372000 2638850 2965000 4222160 5277700 5930000 6597125 8444320 10555400 11860000 13194250 21110800 26388500 32985625 42221600 52777000 65971250 105554000 131942500 211108000 263885000 527770000 1055540000