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11999680 = 265711487
BaseRepresentation
bin101101110001…
…100111000000
3211120122110121
4231301213000
511032442210
61105110024
7203665330
oct55614700
924518417
1011999680
1168565a0
124028314
132641b04
1418450c0
1510c06da
hexb719c0

11999680 has 112 divisors (see below), whose sum is σ = 35698176. Its totient is φ = 3732480.

The previous prime is 11999657. The next prime is 11999681. The reversal of 11999680 is 8699911.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11999681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24397 + ... + 24883.

Almost surely, 211999680 is an apocalyptic number.

11999680 is a gapful number since it is divisible by the number (10) 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 11999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17849088).

11999680 is an abundant number, since it is smaller than the sum of its proper divisors (23698496).

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

11999680 is a wasteful number, since it uses less digits than its factorization.

11999680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 43.

The square root of 11999680 is about 3464.0554268083. The cubic root of 11999680 is about 228.9408134450.

It can be divided in two parts, 119 and 99680, that added together give a palindrome (99799).

The spelling of 11999680 in words is "eleven million, nine hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 140 154 160 176 220 224 280 308 320 352 385 440 448 487 560 616 704 770 880 974 1120 1232 1540 1760 1948 2240 2435 2464 3080 3409 3520 3896 4870 4928 5357 6160 6818 7792 9740 10714 12320 13636 15584 17045 19480 21428 24640 26785 27272 31168 34090 37499 38960 42856 53570 54544 68180 74998 77920 85712 107140 109088 136360 149996 155840 171424 187495 214280 218176 272720 299992 342848 374990 428560 545440 599984 749980 857120 1090880 1199968 1499960 1714240 2399936 2999920 5999840 11999680