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1080537696 = 25327607883
BaseRepresentation
bin100000001100111…
…1011001001100000
32210022020000001200
41000121323021200
54203104201241
6255115401200
735530263450
oct10031731140
92708200050
101080537696
11504a31a67
12261a53200
13142b28224
14a3713d60
1564cde4b6
hex4067b260

1080537696 has 144 divisors (see below), whose sum is σ = 3521516544. Its totient is φ = 307867392.

The previous prime is 1080537683. The next prime is 1080537701. The reversal of 1080537696 is 6967350801.

It is a happy number.

1080537696 is a `hidden beast` number, since 108 + 0 + 537 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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, 1223271 + ... + 1224153.

It is an arithmetic number, because the mean of its divisors is an integer number (24454976).

Almost surely, 21080537696 is an apocalyptic number.

1080537696 is a gapful number since it is divisible by the number (16) 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 1080537696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760758272).

1080537696 is an abundant number, since it is smaller than the sum of its proper divisors (2440978848).

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

1080537696 is a wasteful number, since it uses less digits than its factorization.

1080537696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1080537696 is about 32871.5332164473. The cubic root of 1080537696 is about 1026.1558077618.

The spelling of 1080537696 in words is "one billion, eighty million, five hundred thirty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 607 672 883 1008 1214 1766 1821 2016 2428 2649 3532 3642 4249 4856 5298 5463 6181 7064 7284 7947 8498 9712 10596 10926 12362 12747 14128 14568 15894 16996 18543 19424 21192 21852 24724 25494 28256 29136 31788 33992 37086 38241 42384 43704 49448 50988 55629 58272 63576 67984 74172 76482 84768 87408 98896 101976 111258 127152 135968 148344 152964 174816 197792 203952 222516 254304 296688 305928 407904 445032 535981 593376 611856 890064 1071962 1223712 1607943 1780128 2143924 3215886 3751867 4287848 4823829 6431772 7503734 8575696 9647658 11255601 12863544 15007468 17151392 19295316 22511202 25727088 30014936 33766803 38590632 45022404 51454176 60029872 67533606 77181264 90044808 120059744 135067212 154362528 180089616 270134424 360179232 540268848 1080537696