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11690496 = 29324359
BaseRepresentation
bin101100100110…
…001000000000
3210222221100100
4230212020000
510443043441
61054322400
7201240036
oct54461000
923887310
1011690496
116665274
123ab9400
13256416c
1417a4556
15105dcb6
hexb26200

11690496 has 120 divisors (see below), whose sum is σ = 35109360. Its totient is φ = 3741696.

The previous prime is 11690449. The next prime is 11690507. The reversal of 11690496 is 69409611.

11690496 is a `hidden beast` number, since 1 + 169 + 0 + 496 = 666.

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 11690496.

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 11 ways as a sum of consecutive naturals, for example, 198115 + ... + 198173.

It is an arithmetic number, because the mean of its divisors is an integer number (292578).

Almost surely, 211690496 is an apocalyptic number.

11690496 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 11690496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17554680).

11690496 is an abundant number, since it is smaller than the sum of its proper divisors (23418864).

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

11690496 is an equidigital number, since it uses as much as digits as its factorization.

11690496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

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

The square root of 11690496 is about 3419.1367331536. The cubic root of 11690496 is about 226.9573816890.

The spelling of 11690496 in words is "eleven million, six hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 59 64 72 86 96 118 128 129 144 172 177 192 236 256 258 288 344 354 384 387 472 512 516 531 576 688 708 768 774 944 1032 1062 1152 1376 1416 1536 1548 1888 2064 2124 2304 2537 2752 2832 3096 3776 4128 4248 4608 5074 5504 5664 6192 7552 7611 8256 8496 10148 11008 11328 12384 15104 15222 16512 16992 20296 22016 22656 22833 24768 30208 30444 33024 33984 40592 45312 45666 49536 60888 66048 67968 81184 90624 91332 99072 121776 135936 162368 182664 198144 243552 271872 324736 365328 487104 649472 730656 974208 1298944 1461312 1948416 2922624 3896832 5845248 11690496