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1057333440 = 26351101389
BaseRepresentation
bin111111000001011…
…010000011000000
32201200120002210210
4333001122003000
54131134132230
6252530154120
735126120532
oct7701320300
92650502723
101057333440
114a2923299
12256122940
1313b0924b7
14a05d3852
1562c58eb0
hex3f05a0c0

1057333440 has 56 divisors (see below), whose sum is σ = 3357036720. Its totient is φ = 281955328.

The previous prime is 1057333427. The next prime is 1057333441. The reversal of 1057333440 is 443337501.

It is a super-2 number, since 2×10573334402 = 2235908006684467200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1057333398 and 1057333407.

It is not an unprimeable number, because it can be changed into a prime (1057333441) 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, 549735 + ... + 551654.

Almost surely, 21057333440 is an apocalyptic number.

1057333440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057333440 is an abundant number, since it is smaller than the sum of its proper divisors (2299703280).

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

1057333440 is a wasteful number, since it uses less digits than its factorization.

1057333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101409 (or 1101399 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 1057333440 is about 32516.6640355372. The cubic root of 1057333440 is about 1018.7571174431.

The spelling of 1057333440 in words is "one billion, fifty-seven million, three hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1101389 2202778 3304167 4405556 5506945 6608334 8811112 11013890 13216668 16520835 17622224 22027780 26433336 33041670 35244448 44055560 52866672 66083340 70488896 88111120 105733344 132166680 176222240 211466688 264333360 352444480 528666720 1057333440