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11989560 = 23351131293
BaseRepresentation
bin101101101111…
…001000111000
3211120010120210
4231233020320
511032131220
61104551120
7203623662
oct55571070
924503523
1011989560
116849a30
1240224a0
13263a31b
141841532
1510bc6e0
hexb6f238

11989560 has 128 divisors (see below), whose sum is σ = 40642560. Its totient is φ = 2803200.

The previous prime is 11989553. The next prime is 11989597. The reversal of 11989560 is 6598911.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 40774 + ... + 41066.

It is an arithmetic number, because the mean of its divisors is an integer number (317520).

Almost surely, 211989560 is an apocalyptic number.

11989560 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 11989560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321280).

11989560 is an abundant number, since it is smaller than the sum of its proper divisors (28653000).

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

11989560 is a wasteful number, since it uses less digits than its factorization.

11989560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 39.

The square root of 11989560 is about 3462.5944030452. The cubic root of 11989560 is about 228.8764358212.

The spelling of 11989560 in words is "eleven million, nine hundred eighty-nine thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 31 33 40 44 55 60 62 66 88 93 110 120 124 132 155 165 186 220 248 264 293 310 330 341 372 440 465 586 620 660 682 744 879 930 1023 1172 1240 1320 1364 1465 1705 1758 1860 2046 2344 2728 2930 3223 3410 3516 3720 4092 4395 5115 5860 6446 6820 7032 8184 8790 9083 9669 10230 11720 12892 13640 16115 17580 18166 19338 20460 25784 27249 32230 35160 36332 38676 40920 45415 48345 54498 64460 72664 77352 90830 96690 99913 108996 128920 136245 181660 193380 199826 217992 272490 299739 363320 386760 399652 499565 544980 599478 799304 999130 1089960 1198956 1498695 1998260 2397912 2997390 3996520 5994780 11989560