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1003660112 = 247131634229
BaseRepresentation
bin111011110100101…
…010001101010000
32120221120012211202
4323310222031100
54023414110422
6243331530332
733604653530
oct7364521520
92527505752
101003660112
114755a3774
122401599a8
1312cc1c130
14974214c0
155d1a5b92
hex3bd2a350

1003660112 has 80 divisors (see below), whose sum is σ = 2408595840. Its totient is φ = 394523136.

The previous prime is 1003660111. The next prime is 1003660117. The reversal of 1003660112 is 2110663001.

1003660112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003660111) 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, 235214 + ... + 239442.

It is an arithmetic number, because the mean of its divisors is an integer number (30107448).

Almost surely, 21003660112 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 1003660112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204297920).

1003660112 is an abundant number, since it is smaller than the sum of its proper divisors (1404935728).

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

1003660112 is a wasteful number, since it uses less digits than its factorization.

1003660112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4420 (or 4414 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 1003660112 is about 31680.5951964290. The cubic root of 1003660112 is about 1001.2185518616.

The spelling of 1003660112 in words is "one billion, three million, six hundred sixty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 163 182 208 326 364 652 728 1141 1304 1456 2119 2282 2608 4229 4238 4564 8458 8476 9128 14833 16916 16952 18256 29603 29666 33832 33904 54977 59206 59332 67664 109954 118412 118664 219908 236824 237328 384839 439816 473648 689327 769678 879632 1378654 1539356 2757308 3078712 4825289 5514616 6157424 8961251 9650578 11029232 17922502 19301156 35845004 38602312 62728757 71690008 77204624 125457514 143380016 250915028 501830056 1003660112