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11673696 = 2531723311
BaseRepresentation
bin101100100010…
…000001100000
3210222002022010
4230202001200
510442024241
61054112520
7201140046
oct54420140
923862263
1011673696
116653691
123aab740
132559618
14179c396
151058d16
hexb22060

11673696 has 96 divisors (see below), whose sum is σ = 33965568. Its totient is φ = 3491840.

The previous prime is 11673671. The next prime is 11673707. The reversal of 11673696 is 69637611.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37381 + ... + 37691.

It is an arithmetic number, because the mean of its divisors is an integer number (353808).

Almost surely, 211673696 is an apocalyptic number.

11673696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11673696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16982784).

11673696 is an abundant number, since it is smaller than the sum of its proper divisors (22291872).

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

11673696 is a wasteful number, since it uses less digits than its factorization.

11673696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 356 counting only the distinct ones).

The product of its digits is 40824, while the sum is 39.

The square root of 11673696 is about 3416.6790894083. The cubic root of 11673696 is about 226.8486120832.

The spelling of 11673696 in words is "eleven million, six hundred seventy-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 68 69 92 96 102 136 138 184 204 272 276 311 368 391 408 544 552 622 736 782 816 933 1104 1173 1244 1564 1632 1866 2208 2346 2488 3128 3732 4692 4976 5287 6256 7153 7464 9384 9952 10574 12512 14306 14928 15861 18768 21148 21459 28612 29856 31722 37536 42296 42918 57224 63444 84592 85836 114448 121601 126888 169184 171672 228896 243202 253776 343344 364803 486404 507552 686688 729606 972808 1459212 1945616 2918424 3891232 5836848 11673696