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1027065897 = 32111321723157
BaseRepresentation
bin111101001101111…
…100100000101001
32122120121100112200
4331031330200221
54100412102042
6245525330413
734310626134
oct7515744051
92576540480
101027065897
1148782a8a0
12247b66a09
13134a25800
149a59521b
156027ac4c
hex3d37c829

1027065897 has 144 divisors (see below), whose sum is σ = 1948572288. Its totient is φ = 513976320.

The previous prime is 1027065883. The next prime is 1027065899. The reversal of 1027065897 is 7985607201.

It is not a de Polignac number, because 1027065897 - 215 = 1027033129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1027065899) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6541743 + ... + 6541899.

It is an arithmetic number, because the mean of its divisors is an integer number (13531752).

Almost surely, 21027065897 is an apocalyptic number.

1027065897 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1027065897 is a deficient number, since it is larger than the sum of its proper divisors (921506391).

1027065897 is a wasteful number, since it uses less digits than its factorization.

1027065897 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 1027065897 is about 32047.8688371005. The cubic root of 1027065897 is about 1008.9417720650.

It can be divided in two parts, 10270 and 65897, that added together give a palindrome (76167).

The spelling of 1027065897 in words is "one billion, twenty-seven million, sixty-five thousand, eight hundred ninety-seven".

Divisors: 1 3 9 11 13 17 23 33 39 51 69 99 117 143 153 157 169 187 207 221 253 299 391 429 471 507 561 663 759 897 1173 1287 1413 1521 1683 1727 1859 1989 2041 2277 2431 2669 2691 2873 3289 3519 3611 3887 4301 5083 5181 5577 6123 7293 8007 8619 9867 10833 11661 12903 15249 15543 16731 18369 21879 22451 24021 25857 26533 29359 29601 31603 32499 34697 34983 38709 39721 42757 45747 46943 55913 61387 66079 67353 79599 88077 94809 104091 119163 128271 140829 167739 184161 198237 202059 238797 264231 284427 291863 312273 357489 381667 384813 422487 451061 503217 516373 552483 594711 610259 675257 726869 798031 875589 1145001 1353183 1549119 1830777 2025771 2180607 2394093 2626767 3435003 4059549 4647357 4961671 5492331 6077313 6541821 6712849 7182279 8778341 10374403 14885013 20138547 26335023 31123209 44655039 60415641 79005069 93369627 114118433 342355299 1027065897