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1065414140 = 225717449997
BaseRepresentation
bin111111100000001…
…110110111111100
32202020202122102222
4333200032313330
54140221223030
6253415304512
735254604450
oct7740166774
92666678388
101065414140
114a744245a
1225897b138
1313c96158b
14a16d8660
15638033e5
hex3f80edfc

1065414140 has 96 divisors (see below), whose sum is σ = 2716156800. Its totient is φ = 342687744.

The previous prime is 1065414137. The next prime is 1065414167. The reversal of 1065414140 is 414145601.

It is a super-2 number, since 2×10654141402 = 2270214579423879200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1068122 + ... + 1069118.

It is an arithmetic number, because the mean of its divisors is an integer number (28293300).

Almost surely, 21065414140 is an apocalyptic number.

1065414140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1065414140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358078400).

1065414140 is an abundant number, since it is smaller than the sum of its proper divisors (1650742660).

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

1065414140 is a wasteful number, since it uses less digits than its factorization.

1065414140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 1065414140 is about 32640.6822845357. The cubic root of 1065414140 is about 1021.3458269693.

Adding to 1065414140 its reverse (414145601), we get a palindrome (1479559741).

The spelling of 1065414140 in words is "one billion, sixty-five million, four hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 449 476 595 898 997 1190 1796 1994 2245 2380 3143 3988 4490 4985 6286 6979 7633 8980 9970 12572 13958 15266 15715 16949 19940 27916 30532 31430 33898 34895 38165 53431 62860 67796 69790 76330 84745 106862 118643 139580 152660 169490 213724 237286 267155 338980 447653 474572 534310 593215 895306 1068620 1186430 1790612 2238265 2372860 3133571 4476530 6267142 7610101 8953060 12534284 15220202 15667855 30440404 31335710 38050505 53270707 62671420 76101010 106541414 152202020 213082828 266353535 532707070 1065414140