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1055794720 = 25518136457
BaseRepresentation
bin111110111011100…
…010011000100000
32201120122221002011
4332323202120200
54130240412340
6252433202304
735110051501
oct7673423040
92646587064
101055794720
114a1a72222
12255700394
1313a974006
14a0312ba8
1562a530ea
hex3eee2620

1055794720 has 48 divisors (see below), whose sum is σ = 2508164568. Its totient is φ = 419973120.

The previous prime is 1055794709. The next prime is 1055794723. The reversal of 1055794720 is 274975501.

1055794720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 636855696 + 418939024 = 25236^2 + 20468^2 .

It is a super-2 number, since 2×10557947202 = 2229404981559756800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1055794723) 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, 10732 + ... + 47188.

Almost surely, 21055794720 is an apocalyptic number.

1055794720 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 1055794720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254082284).

1055794720 is an abundant number, since it is smaller than the sum of its proper divisors (1452369848).

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

1055794720 is a wasteful number, since it uses less digits than its factorization.

1055794720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36653 (or 36645 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 40.

The square root of 1055794720 is about 32492.9949373707. The cubic root of 1055794720 is about 1018.2626840149.

The spelling of 1055794720 in words is "one billion, fifty-five million, seven hundred ninety-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 181 362 724 905 1448 1810 2896 3620 5792 7240 14480 28960 36457 72914 145828 182285 291656 364570 583312 729140 1166624 1458280 2916560 5833120 6598717 13197434 26394868 32993585 52789736 65987170 105579472 131974340 211158944 263948680 527897360 1055794720