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10803996 = 2233731461
BaseRepresentation
bin101001001101…
…101100011100
3202022220022000
4221031230130
510231211441
61023322300
7160555350
oct51155434
922286260
1010803996
11610a225
123750390
1323137c8
141613460
15e362b6
hexa4db1c

10803996 has 96 divisors (see below), whose sum is σ = 33116160. Its totient is φ = 2980800.

The previous prime is 10803983. The next prime is 10804007. The reversal of 10803996 is 69930801.

10803996 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×108039963 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10803996.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23206 + ... + 23666.

It is an arithmetic number, because the mean of its divisors is an integer number (344960).

Almost surely, 210803996 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 10803996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16558080).

10803996 is an abundant number, since it is smaller than the sum of its proper divisors (22312164).

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

10803996 is a wasteful number, since it uses less digits than its factorization.

10803996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 10803996 is about 3286.9432608428. The cubic root of 10803996 is about 221.0691483899.

The spelling of 10803996 in words is "ten million, eight hundred three thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 84 93 108 124 126 186 189 217 252 279 372 378 434 461 558 651 756 837 868 922 1116 1302 1383 1674 1844 1953 2604 2766 3227 3348 3906 4149 5532 5859 6454 7812 8298 9681 11718 12447 12908 14291 16596 19362 23436 24894 28582 29043 38724 42873 49788 57164 58086 85746 87129 100037 116172 128619 171492 174258 200074 257238 300111 348516 385857 400148 514476 600222 771714 900333 1200444 1543428 1800666 2700999 3601332 5401998 10803996