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1057093380 = 223257838963
BaseRepresentation
bin111111000000011…
…111011100000100
32201200002220111200
4333000133130010
54131103442010
6252521102500
735124100620
oct7700373404
92650086450
101057093380
114a27799a2
12256027a30
1313b00a155
14a0570180
1562c0ccc0
hex3f01f704

1057093380 has 72 divisors (see below), whose sum is σ = 3664594752. Its totient is φ = 241621056.

The previous prime is 1057093379. The next prime is 1057093393. The reversal of 1057093380 is 833907501.

1057093380 is a `hidden beast` number, since 1 + 0 + 570 + 9 + 3 + 3 + 80 = 666.

1057093380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10570933802 = 2234892828079648800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418222 + ... + 420741.

Almost surely, 21057093380 is an apocalyptic number.

1057093380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057093380 is an abundant number, since it is smaller than the sum of its proper divisors (2607501372).

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

1057093380 is a wasteful number, since it uses less digits than its factorization.

1057093380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838985 (or 838980 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1057093380 is about 32512.9724879163. The cubic root of 1057093380 is about 1018.6800111001.

The spelling of 1057093380 in words is "one billion, fifty-seven million, ninety-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 838963 1677926 2516889 3355852 4194815 5033778 5872741 7550667 8389630 10067556 11745482 12584445 15101334 16779260 17618223 23490964 25168890 29363705 30202668 35236446 37753335 50337780 52854669 58727410 70472892 75506670 88091115 105709338 117454820 151013340 176182230 211418676 264273345 352364460 528546690 1057093380