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11999664 = 243447197
BaseRepresentation
bin101101110001…
…100110110000
3211120122110000
4231301212300
511032442124
61105110000
7203665305
oct55614660
924518400
1011999664
116856586
124028300
132641ac1
1418450ac
1510c06c9
hexb719b0

11999664 has 100 divisors (see below), whose sum is σ = 35649504. Its totient is φ = 3894912.

The previous prime is 11999657. The next prime is 11999681. The reversal of 11999664 is 46699911.

11999664 is nontrivially palindromic in base 11.

11999664 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-2 number, since 2×119996642 = 287983872225792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 60814 + ... + 61010.

Almost surely, 211999664 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 11999664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17824752).

11999664 is an abundant number, since it is smaller than the sum of its proper divisors (23649840).

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

11999664 is a wasteful number, since it uses less digits than its factorization.

11999664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 249 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 11999664 is about 3464.0531173757. The cubic root of 11999664 is about 228.9407116908.

The spelling of 11999664 in words is "eleven million, nine hundred ninety-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 81 94 108 141 144 162 188 197 216 282 324 376 394 423 432 564 591 648 752 788 846 1128 1182 1269 1296 1576 1692 1773 2256 2364 2538 3152 3384 3546 3807 4728 5076 5319 6768 7092 7614 9259 9456 10152 10638 14184 15228 15957 18518 20304 21276 27777 28368 30456 31914 37036 42552 55554 60912 63828 74072 83331 85104 111108 127656 148144 166662 222216 249993 255312 333324 444432 499986 666648 749979 999972 1333296 1499958 1999944 2999916 3999888 5999832 11999664