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1083104352 = 253311113963
BaseRepresentation
bin100000010001110…
…1101110001100000
32210111001101212000
41000203231301200
54204233314402
6255250404000
735561143431
oct10043556140
92714041760
101083104352
11506425370
12262890600
13143516565
14a3bc1488
1565149c1c
hex408edc60

1083104352 has 96 divisors (see below), whose sum is σ = 3446271360. Its totient is φ = 328210560.

The previous prime is 1083104311. The next prime is 1083104353. The reversal of 1083104352 is 2534013801.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083104353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47478 + ... + 66485.

It is an arithmetic number, because the mean of its divisors is an integer number (35898660).

Almost surely, 21083104352 is an apocalyptic number.

1083104352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1083104352 is an abundant number, since it is smaller than the sum of its proper divisors (2363167008).

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

1083104352 is a wasteful number, since it uses less digits than its factorization.

1083104352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113993 (or 113979 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1083104352 is about 32910.5507702317. The cubic root of 1083104352 is about 1026.9676586047.

The spelling of 1083104352 in words is "one billion, eighty-three million, one hundred four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 113963 227926 341889 455852 683778 911704 1025667 1253593 1367556 1823408 2051334 2507186 2735112 3077001 3646816 3760779 4102668 5014372 5470224 6154002 7521558 8205336 10028744 10940448 11282337 12308004 15043116 16410672 20057488 22564674 24616008 30086232 32821344 33847011 40114976 45129348 49232016 60172464 67694022 90258696 98464032 120344928 135388044 180517392 270776088 361034784 541552176 1083104352