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1056420387 = 35112193161
BaseRepresentation
bin111110111101111…
…011001000100011
32201121211201100000
4332331323020203
54130420423022
6252454431043
735115265551
oct7675731043
92647751300
101056420387
114a235a300
12255962483
1313ab32a29
14a0436bd1
1562b286ac
hex3ef7b223

1056420387 has 144 divisors (see below), whose sum is σ = 1920988160. Its totient is φ = 577368000.

The previous prime is 1056420373. The next prime is 1056420397. The reversal of 1056420387 is 7830246501.

1056420387 is a `hidden beast` number, since 1 + 0 + 5 + 642 + 0 + 3 + 8 + 7 = 666.

It is not a de Polignac number, because 1056420387 - 216 = 1056354851 is a prime.

It is a super-2 number, since 2×10564203872 = 2232048068138459538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056420397) 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 143 ways as a sum of consecutive naturals, for example, 17318337 + ... + 17318397.

Almost surely, 21056420387 is an apocalyptic number.

1056420387 is a deficient number, since it is larger than the sum of its proper divisors (864567773).

1056420387 is a wasteful number, since it uses less digits than its factorization.

1056420387 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1056420387 is about 32502.6212327560. The cubic root of 1056420387 is about 1018.4637860979.

Adding to 1056420387 its reverse (7830246501), we get a palindrome (8886666888).

The spelling of 1056420387 in words is "one billion, fifty-six million, four hundred twenty thousand, three hundred eighty-seven".

Divisors: 1 3 9 11 19 27 31 33 57 61 81 93 99 121 171 183 209 243 279 297 341 363 513 549 589 627 671 837 891 1023 1089 1159 1539 1647 1767 1881 1891 2013 2299 2511 2673 3069 3267 3477 3751 4617 4941 5301 5643 5673 6039 6479 6897 7381 7533 9207 9801 10431 11253 12749 14823 15903 16929 17019 18117 19437 20691 20801 22143 27621 29403 31293 33759 35929 38247 47709 50787 51057 54351 58311 62073 62403 66429 71269 82863 93879 101277 107787 114741 140239 143127 153171 163053 174933 186219 187209 199287 213807 228811 281637 303831 323361 344223 395219 420717 459513 524799 558657 561627 597861 641421 686433 911493 970083 1032669 1185657 1262151 1574397 1684881 1793583 1924263 2059299 2910249 3098007 3556971 3786453 4347409 5054643 5772789 6177897 8730747 10670913 11359359 13042227 17318367 18533691 32012739 34078077 39126681 55601073 96038217 117380043 352140129 1056420387