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1080935424 = 21032532213
BaseRepresentation
bin100000001101101…
…1100010000000000
32210022222012122100
41000123130100000
54203204413144
6255132110400
735533541142
oct10033342000
92708865570
101080935424
11505183868
12262005400
13142c3727a
14a37b8c92
1564d6c269
hex406dc400

1080935424 has 132 divisors (see below), whose sum is σ = 3181504716. Its totient is φ = 353353728.

The previous prime is 1080935417. The next prime is 1080935437. The reversal of 1080935424 is 4245390801.

1080935424 is a `hidden beast` number, since 108 + 0 + 9 + 3 + 542 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 973440000 + 107495424 = 31200^2 + 10368^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 487342 + ... + 489554.

Almost surely, 21080935424 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 1080935424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590752358).

1080935424 is an abundant number, since it is smaller than the sum of its proper divisors (2100569292).

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

1080935424 is a wasteful number, since it uses less digits than its factorization.

1080935424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1080935424 is about 32877.5823928707. The cubic root of 1080935424 is about 1026.2816959604.

The spelling of 1080935424 in words is "one billion, eighty million, nine hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 256 288 318 384 424 477 512 576 636 768 848 954 1024 1152 1272 1536 1696 1908 2213 2304 2544 3072 3392 3816 4426 4608 5088 6639 6784 7632 8852 9216 10176 13278 13568 15264 17704 19917 20352 26556 27136 30528 35408 39834 40704 53112 54272 61056 70816 79668 81408 106224 117289 122112 141632 159336 162816 212448 234578 244224 283264 318672 351867 424896 469156 488448 566528 637344 703734 849792 938312 1055601 1133056 1274688 1407468 1699584 1876624 2111202 2266112 2549376 2814936 3399168 3753248 4222404 5098752 5629872 6798336 7506496 8444808 10197504 11259744 15012992 16889616 20395008 22519488 30025984 33779232 45038976 60051968 67558464 90077952 120103936 135116928 180155904 270233856 360311808 540467712 1080935424