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11873106 = 23271723241
BaseRepresentation
bin101101010010…
…101101010010
3211100012211200
4231102231102
511014414411
61102252030
7202630320
oct55225522
924305750
1011873106
11677a493
123b87016
1325c930b
141810d10
151097e56
hexb52b52

11873106 has 96 divisors (see below), whose sum is σ = 32617728. Its totient is φ = 3041280.

The previous prime is 11873087. The next prime is 11873111. The reversal of 11873106 is 60137811.

11873106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 11873106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49146 + ... + 49386.

It is an arithmetic number, because the mean of its divisors is an integer number (339768).

Almost surely, 211873106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11873106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16308864).

11873106 is an abundant number, since it is smaller than the sum of its proper divisors (20744622).

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

11873106 is a wasteful number, since it uses less digits than its factorization.

11873106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 11873106 is about 3445.7373666604. The cubic root of 11873106 is about 228.1330018085.

The spelling of 11873106 in words is "eleven million, eight hundred seventy-three thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 17 18 21 23 34 42 46 51 63 69 102 119 126 138 153 161 207 238 241 306 322 357 391 414 482 483 714 723 782 966 1071 1173 1446 1449 1687 2142 2169 2346 2737 2898 3374 3519 4097 4338 5061 5474 5543 7038 8194 8211 10122 11086 12291 15183 16422 16629 24582 24633 28679 30366 33258 36873 38801 49266 49887 57358 73746 77602 86037 94231 99774 116403 172074 188462 232806 258111 282693 349209 516222 565386 659617 698418 848079 1319234 1696158 1978851 3957702 5936553 11873106