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11990664 = 2332737643
BaseRepresentation
bin101101101111…
…011010001000
3211120012002200
4231233122020
511032200124
61105000200
7203630130
oct55573210
924505080
1011990664
11684a844
124023060
13263a98a
141841ac0
1510bcbc9
hexb6f688

11990664 has 96 divisors (see below), whose sum is σ = 38176320. Its totient is φ = 3328128.

The previous prime is 11990639. The next prime is 11990677. The reversal of 11990664 is 46609911.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18327 + ... + 18969.

It is an arithmetic number, because the mean of its divisors is an integer number (397670).

Almost surely, 211990664 is an apocalyptic number.

11990664 is a gapful number since it is divisible by the number (14) 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 11990664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19088160).

11990664 is an abundant number, since it is smaller than the sum of its proper divisors (26185656).

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

11990664 is a wasteful number, since it uses less digits than its factorization.

11990664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 692 counting only the distinct ones).

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

The square root of 11990664 is about 3462.7538174118. The cubic root of 11990664 is about 228.8834605947.

The spelling of 11990664 in words is "eleven million, nine hundred ninety thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 37 42 56 63 72 74 84 111 126 148 168 222 252 259 296 333 444 504 518 643 666 777 888 1036 1286 1332 1554 1929 2072 2331 2572 2664 3108 3858 4501 4662 5144 5787 6216 7716 9002 9324 11574 13503 15432 18004 18648 23148 23791 27006 36008 40509 46296 47582 54012 71373 81018 95164 108024 142746 162036 166537 190328 214119 285492 324072 333074 428238 499611 570984 666148 856476 999222 1332296 1498833 1712952 1998444 2997666 3996888 5995332 11990664