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1057870671 = 3111323293697
BaseRepresentation
bin111111000011011…
…101001101001111
32201201120101202020
4333003131031033
54131303330141
6252545501223
735133516024
oct7703351517
92651511666
101057870671
114a315a990
12256341813
1313b21cba0
14a06d354b
1562d13266
hex3f0dd34f

1057870671 has 64 divisors (see below), whose sum is σ = 1789240320. Its totient is φ = 546416640.

The previous prime is 1057870661. The next prime is 1057870739. The reversal of 1057870671 is 1760787501.

It is a de Polignac number, because none of the positive numbers 2k-1057870671 is a prime.

It is a super-2 number, since 2×10578706712 = 2238180713123980482, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057870661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 284295 + ... + 287991.

It is an arithmetic number, because the mean of its divisors is an integer number (27956880).

Almost surely, 21057870671 is an apocalyptic number.

1057870671 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1057870671 is a deficient number, since it is larger than the sum of its proper divisors (731369649).

1057870671 is a wasteful number, since it uses less digits than its factorization.

1057870671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776.

The product of its (nonzero) digits is 82320, while the sum is 42.

The square root of 1057870671 is about 32524.9238431084. The cubic root of 1057870671 is about 1018.9296316865.

The spelling of 1057870671 in words is "one billion, fifty-seven million, eight hundred seventy thousand, six hundred seventy-one".

Divisors: 1 3 11 13 23 29 33 39 69 87 143 253 299 319 377 429 667 759 897 957 1131 2001 3289 3697 4147 7337 8671 9867 11091 12441 22011 26013 40667 48061 85031 95381 107213 122001 144183 255093 286143 321639 528671 935341 1105403 1179343 1393769 1586013 2465899 2806023 3316209 3538029 4181307 7397697 12159433 15331459 27124889 32056687 36478299 45994377 81374667 96170061 352623557 1057870671