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31603104 = 25321323367
BaseRepresentation
bin111100010001…
…1100110100000
32012110121022100
41320203212200
531042244404
63045210400
7532423221
oct170434640
965417270
1031603104
1116925975
12a700a00
136716880
1442a9248
152b93d39
hex1e239a0

31603104 has 144 divisors (see below), whose sum is σ = 101267712. Its totient is φ = 9275904.

The previous prime is 31603079. The next prime is 31603109. The reversal of 31603104 is 40130613.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (31603109) 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 23 ways as a sum of consecutive naturals, for example, 85929 + ... + 86295.

It is an arithmetic number, because the mean of its divisors is an integer number (703248).

Almost surely, 231603104 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 31603104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50633856).

31603104 is an abundant number, since it is smaller than the sum of its proper divisors (69664608).

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

31603104 is a wasteful number, since it uses less digits than its factorization.

31603104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 31603104 is about 5621.6638106525. The cubic root of 31603104 is about 316.1621770750.

Adding to 31603104 its reverse (40130613), we get a palindrome (71733717).

The spelling of 31603104 in words is "thirty-one million, six hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 32 36 39 46 48 52 69 72 78 92 96 104 117 138 144 156 184 207 208 234 276 288 299 312 367 368 414 416 468 552 598 624 734 736 828 897 936 1101 1104 1196 1248 1468 1656 1794 1872 2202 2208 2392 2691 2936 3303 3312 3588 3744 4404 4771 4784 5382 5872 6606 6624 7176 8441 8808 9542 9568 10764 11744 13212 14313 14352 16882 17616 19084 21528 25323 26424 28626 28704 33764 35232 38168 42939 43056 50646 52848 57252 67528 75969 76336 85878 86112 101292 105696 109733 114504 135056 151938 152672 171756 202584 219466 229008 270112 303876 329199 343512 405168 438932 458016 607752 658398 687024 810336 877864 987597 1215504 1316796 1374048 1755728 1975194 2431008 2633592 3511456 3950388 5267184 7900776 10534368 15801552 31603104