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1085997024 = 25337179563
BaseRepresentation
bin100000010111010…
…1111111111100000
32210200111100212000
41000232233333200
54211003401044
6255432404000
735624552040
oct10056577740
92720440760
101085997024
11508020702
12263846600
13143cba0b8
14a4335720
156551bd69
hex40baffe0

1085997024 has 96 divisors (see below), whose sum is σ = 3620010240. Its totient is φ = 310283136.

The previous prime is 1085997023. The next prime is 1085997047. The reversal of 1085997024 is 4207995801.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10859970242 = 2358779072273713152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085997023) 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, 83734 + ... + 95829.

It is an arithmetic number, because the mean of its divisors is an integer number (37708440).

Almost surely, 21085997024 is an apocalyptic number.

1085997024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1085997024 is an abundant number, since it is smaller than the sum of its proper divisors (2534013216).

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

1085997024 is a wasteful number, since it uses less digits than its factorization.

1085997024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179589 (or 179575 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1085997024 is about 32954.4689533908. The cubic root of 1085997024 is about 1027.8810947171.

The spelling of 1085997024 in words is "one billion, eighty-five million, nine hundred ninety-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 179563 359126 538689 718252 1077378 1256941 1436504 1616067 2154756 2513882 2873008 3232134 3770823 4309512 4848201 5027764 5746016 6464268 7541646 8619024 9696402 10055528 11312469 12928536 15083292 17238048 19392804 20111056 22624938 25857072 30166584 33937407 38785608 40222112 45249876 51714144 60333168 67874814 77571216 90499752 120666336 135749628 155142432 180999504 271499256 361999008 542998512 1085997024