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1065983240 = 235721134813
BaseRepresentation
bin111111100010011…
…001110100001000
32202021211120002202
4333202121310020
54140342430430
6253435415332
735262464600
oct7742316410
92667746082
101065983240
114a77a0a93
12258bb4548
1313cb0061a
14a1805c00
15638b6d45
hex3f899d08

1065983240 has 96 divisors (see below), whose sum is σ = 2815323480. Its totient is φ = 362170368.

The previous prime is 1065983227. The next prime is 1065983257. The reversal of 1065983240 is 423895601.

It is a happy number.

1065983240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 665743204 + 400240036 = 25802^2 + 20006^2 .

It is a super-2 number, since 2×10659832402 = 2272640535921795200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1065983194 and 1065983203.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219074 + ... + 223886.

Almost surely, 21065983240 is an apocalyptic number.

1065983240 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 1065983240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407661740).

1065983240 is an abundant number, since it is smaller than the sum of its proper divisors (1749340240).

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

1065983240 is a wasteful number, since it uses less digits than its factorization.

1065983240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4951 (or 4940 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 1065983240 is about 32649.3987693495. The cubic root of 1065983240 is about 1021.5276481117.

The spelling of 1065983240 in words is "one billion, sixty-five million, nine hundred eighty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 113 140 196 226 245 280 392 452 490 565 791 904 980 1130 1582 1960 2260 3164 3955 4520 4813 5537 6328 7910 9626 11074 15820 19252 22148 24065 27685 31640 33691 38504 44296 48130 55370 67382 96260 110740 134764 168455 192520 221480 235837 269528 336910 471674 543869 673820 943348 1087738 1179185 1347640 1886696 2175476 2358370 2719345 3807083 4350952 4716740 5438690 7614166 9433480 10877380 15228332 19035415 21754760 26649581 30456664 38070830 53299162 76141660 106598324 133247905 152283320 213196648 266495810 532991620 1065983240