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11989120 = 2751113131
BaseRepresentation
bin101101101111…
…000010000000
3211120002222111
4231233002000
511032122440
61104545104
7203622463
oct55570200
924502874
1011989120
116849670
124022194
13263a070
1418412da
1510bc4ea
hexb6f080

11989120 has 128 divisors (see below), whose sum is σ = 33929280. Its totient is φ = 3993600.

The previous prime is 11989099. The next prime is 11989121. The reversal of 11989120 is 2198911.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (11989121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91455 + ... + 91585.

Almost surely, 211989120 is an apocalyptic number.

11989120 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 11989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16964640).

11989120 is an abundant number, since it is smaller than the sum of its proper divisors (21940160).

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

11989120 is a wasteful number, since it uses less digits than its factorization.

11989120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 31.

The square root of 11989120 is about 3462.5308662884. The cubic root of 11989120 is about 228.8736359724.

It can be divided in two parts, 119891 and 20, that added together give a palindrome (119911).

The spelling of 11989120 in words is "eleven million, nine hundred eighty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 128 130 131 143 160 176 208 220 260 262 286 320 352 416 440 520 524 572 640 655 704 715 832 880 1040 1048 1144 1310 1408 1430 1441 1664 1703 1760 2080 2096 2288 2620 2860 2882 3406 3520 4160 4192 4576 5240 5720 5764 6812 7040 7205 8320 8384 8515 9152 10480 11440 11528 13624 14410 16768 17030 18304 18733 20960 22880 23056 27248 28820 34060 37466 41920 45760 46112 54496 57640 68120 74932 83840 91520 92224 93665 108992 115280 136240 149864 184448 187330 217984 230560 272480 299728 374660 461120 544960 599456 749320 922240 1089920 1198912 1498640 2397824 2997280 5994560 11989120