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1057200727 = 112311633593
BaseRepresentation
bin111111000000111…
…001101001010111
32201200022100202111
4333000321221113
54131120410402
6252523251451
735125025602
oct7700715127
92650270674
101057200727
114a2842610
12256079b87
1313b046c7b
14a059b339
1562c2e9d7
hex3f039a57

1057200727 has 16 divisors (see below), whose sum is σ = 1204823808. Its totient is φ = 918258880.

The previous prime is 1057200691. The next prime is 1057200737. The reversal of 1057200727 is 7270027501.

It is a de Polignac number, because none of the positive numbers 2k-1057200727 is a prime.

It is a super-2 number, since 2×10572007272 = 2235346754338657058, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057200737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292443 + ... + 296035.

It is an arithmetic number, because the mean of its divisors is an integer number (75301488).

Almost surely, 21057200727 is an apocalyptic number.

1057200727 is a deficient number, since it is larger than the sum of its proper divisors (147623081).

1057200727 is a wasteful number, since it uses less digits than its factorization.

1057200727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4790.

The product of its (nonzero) digits is 6860, while the sum is 31.

The square root of 1057200727 is about 32514.6232793800. The cubic root of 1057200727 is about 1018.7144919838.

The spelling of 1057200727 in words is "one billion, fifty-seven million, two hundred thousand, seven hundred twenty-seven".

Divisors: 1 11 23 253 1163 3593 12793 26749 39523 82639 294239 909029 4178659 45965249 96109157 1057200727