Search a number
-
+
11989692 = 2232111317137
BaseRepresentation
bin101101101111…
…001010111100
3211120010202200
4231233022330
511032132232
61104551500
7203624241
oct55571274
924503680
1011989692
11684a040
124022590
13263a3c0
1418415c8
1510bc77c
hexb6f2bc

11989692 has 144 divisors (see below), whose sum is σ = 37975392. Its totient is φ = 3133440.

The previous prime is 11989687. The next prime is 11989697. The reversal of 11989692 is 29698911.

It is an interprime number because it is at equal distance from previous prime (11989687) and next prime (11989697).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11989697) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87448 + ... + 87584.

It is an arithmetic number, because the mean of its divisors is an integer number (263718).

Almost surely, 211989692 is an apocalyptic number.

11989692 is a gapful number since it is divisible by the number (12) 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 11989692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18987696).

11989692 is an abundant number, since it is smaller than the sum of its proper divisors (25985700).

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

11989692 is a wasteful number, since it uses less digits than its factorization.

11989692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 183 counting only the distinct ones).

The product of its digits is 69984, while the sum is 45.

The square root of 11989692 is about 3462.6134638449. The cubic root of 11989692 is about 228.8772757625.

The spelling of 11989692 in words is "eleven million, nine hundred eighty-nine thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 13 17 18 22 26 33 34 36 39 44 51 52 66 68 78 99 102 117 132 137 143 153 156 187 198 204 221 234 274 286 306 374 396 411 429 442 468 548 561 572 612 663 748 822 858 884 1122 1233 1287 1326 1507 1644 1683 1716 1781 1989 2244 2329 2431 2466 2574 2652 3014 3366 3562 3978 4521 4658 4862 4932 5148 5343 6028 6732 6987 7124 7293 7956 9042 9316 9724 10686 13563 13974 14586 16029 18084 19591 20961 21372 21879 25619 27126 27948 29172 30277 32058 39182 41922 43758 51238 54252 58773 60554 64116 76857 78364 83844 87516 90831 102476 117546 121108 153714 176319 181662 230571 235092 272493 307428 333047 352638 363324 461142 544986 666094 705276 922284 999141 1089972 1332188 1998282 2997423 3996564 5994846 11989692