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1056305000 = 23541911119
BaseRepresentation
bin111110111101011…
…110111101101000
32201121121212001102
4332331132331220
54130403230000
6252452140532
735114305262
oct7675367550
92647555042
101056305000
114a2290643
12255907748
1313aac235a
14a0406b32
1562b043d5
hex3ef5ef68

1056305000 has 80 divisors (see below), whose sum is σ = 2605416000. Its totient is φ = 400248000.

The previous prime is 1056304987. The next prime is 1056305011. The reversal of 1056305000 is 5036501.

It is a super-2 number, since 2×10563050002 = 2231560506050000000, which contains 22 as substring.

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

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, 89441 + ... + 100559.

It is an arithmetic number, because the mean of its divisors is an integer number (32567700).

Almost surely, 21056305000 is an apocalyptic number.

1056305000 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 1056305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302708000).

1056305000 is an abundant number, since it is smaller than the sum of its proper divisors (1549111000).

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

1056305000 is a wasteful number, since it uses less digits than its factorization.

1056305000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11164 (or 11145 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 1056305000 is about 32500.8461428314. The cubic root of 1056305000 is about 1018.4267043448.

The spelling of 1056305000 in words is "one billion, fifty-six million, three hundred five thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 625 760 950 1000 1250 1900 2375 2500 3800 4750 5000 9500 11119 11875 19000 22238 23750 44476 47500 55595 88952 95000 111190 211261 222380 277975 422522 444760 555950 845044 1056305 1111900 1389875 1690088 2112610 2223800 2779750 4225220 5281525 5559500 6949375 8450440 10563050 11119000 13898750 21126100 26407625 27797500 42252200 52815250 55595000 105630500 132038125 211261000 264076250 528152500 1056305000