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1065055488 = 28371910427
BaseRepresentation
bin111111011110110…
…111010100000000
32202020002102110120
4333132313110000
54140123233423
6253403500240
735251552020
oct7736672400
92666072416
101065055488
114a7217a52
12258827680
1313c867263
14a1643a80
1563781ee3
hex3f7b7500

1065055488 has 144 divisors (see below), whose sum is σ = 3410373120. Its totient is φ = 288258048.

The previous prime is 1065055487. The next prime is 1065055513. The reversal of 1065055488 is 8845505601.

It is a super-2 number, since 2×10650554882 = 2268686385037836288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1065055487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96931 + ... + 107357.

Almost surely, 21065055488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1065055488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705186560).

1065055488 is an abundant number, since it is smaller than the sum of its proper divisors (2345317632).

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

1065055488 is a wasteful number, since it uses less digits than its factorization.

1065055488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10472 (or 10458 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 42.

The square root of 1065055488 is about 32635.1878805684. The cubic root of 1065055488 is about 1021.2312083683.

The spelling of 1065055488 in words is "one billion, sixty-five million, fifty-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 532 608 672 768 798 896 912 1064 1216 1344 1596 1792 1824 2128 2432 2688 3192 3648 4256 4864 5376 6384 7296 8512 10427 12768 14592 17024 20854 25536 31281 34048 41708 51072 62562 72989 83416 102144 125124 145978 166832 198113 218967 250248 291956 333664 396226 437934 500496 583912 594339 667328 792452 875868 1000992 1167824 1188678 1334656 1386791 1584904 1751736 2001984 2335648 2377356 2669312 2773582 3169808 3503472 4003968 4160373 4671296 4754712 5547164 6339616 7006944 8007936 8320746 9342592 9509424 11094328 12679232 14013888 16641492 18685184 19018848 22188656 25358464 28027776 33282984 38037696 44377312 50716928 56055552 66565968 76075392 88754624 133131936 152150784 177509248 266263872 355018496 532527744 1065055488