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1080452688 = 243737233373
BaseRepresentation
bin100000001100110…
…0110011001010000
32210022001200110020
41000121212121100
54203043441223
6255113503440
735526460560
oct10031463120
92708050406
101080452688
11504984107
12261a11b80
13142ac8623
14a36d0da0
1564cc41e3
hex40666650

1080452688 has 160 divisors (see below), whose sum is σ = 3299003136. Its totient is φ = 298266624.

The previous prime is 1080452687. The next prime is 1080452693. The reversal of 1080452688 is 8862540801.

It is a super-2 number, since 2×10804526882 = 2334756022012850688, 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 (1080452683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2896470 + ... + 2896842.

Almost surely, 21080452688 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 1080452688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649501568).

1080452688 is an abundant number, since it is smaller than the sum of its proper divisors (2218550448).

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

1080452688 is a wasteful number, since it uses less digits than its factorization.

1080452688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 1080452688 is about 32870.2401573216. The cubic root of 1080452688 is about 1026.1288971657.

The spelling of 1080452688 in words is "one billion, eighty million, four hundred fifty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 233 259 296 336 373 444 466 518 592 699 746 777 888 932 1036 1119 1398 1492 1554 1631 1776 1864 2072 2238 2611 2796 2984 3108 3262 3728 4144 4476 4893 5222 5592 5968 6216 6524 7833 8621 8952 9786 10444 11184 12432 13048 13801 15666 17242 17904 19572 20888 25863 26096 27602 31332 34484 39144 41403 41776 51726 55204 60347 62664 68968 78288 82806 86909 96607 103452 110408 120694 125328 137936 165612 173818 181041 193214 206904 220816 241388 260727 289821 331224 347636 362082 386428 413808 482776 521454 579642 608363 662448 695272 724164 772856 965552 1042908 1159284 1216726 1390544 1448328 1545712 1825089 2085816 2318568 2433452 2896656 3215633 3650178 4171632 4637136 4866904 6431266 7300356 9646899 9733808 12862532 14600712 19293798 22509431 25725064 29201424 38587596 45018862 51450128 67528293 77175192 90037724 135056586 154350384 180075448 270113172 360150896 540226344 1080452688