Search a number
-
+
11998896 = 2437134167
BaseRepresentation
bin101101110001…
…011010110000
3211120121101120
4231301122300
511032431041
61105102240
7203663130
oct55613260
924517346
1011998896
116855a48
124027980
132641650
141844ac0
1510c0366
hexb716b0

11998896 has 160 divisors (see below), whose sum is σ = 39664128. Its totient is φ = 3041280.

The previous prime is 11998859. The next prime is 11998927. The reversal of 11998896 is 69889911.

It is a happy number.

11998896 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179055 + ... + 179121.

Almost surely, 211998896 is an apocalyptic number.

11998896 is a gapful number since it is divisible by the number (16) 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 11998896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19832064).

11998896 is an abundant number, since it is smaller than the sum of its proper divisors (27665232).

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

11998896 is a wasteful number, since it uses less digits than its factorization.

11998896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 133 counting only the distinct ones).

The product of its digits is 279936, while the sum is 51.

The square root of 11998896 is about 3463.9422627983. The cubic root of 11998896 is about 228.9358273813.

The spelling of 11998896 in words is "eleven million, nine hundred ninety-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 41 42 48 52 56 67 78 82 84 91 104 112 123 134 156 164 168 182 201 208 246 268 273 287 312 328 336 364 402 469 492 533 536 546 574 624 656 728 804 861 871 938 984 1066 1072 1092 1148 1407 1456 1599 1608 1722 1742 1876 1968 2132 2184 2296 2613 2747 2814 3198 3216 3444 3484 3731 3752 4264 4368 4592 5226 5494 5628 6097 6396 6888 6968 7462 7504 8241 8528 10452 10988 11193 11256 12194 12792 13776 13936 14924 16482 18291 19229 20904 21976 22386 22512 24388 25584 29848 32964 35711 36582 38458 41808 43952 44772 48776 57687 59696 65928 71422 73164 76916 89544 97552 107133 115374 131856 142844 146328 153832 179088 214266 230748 249977 285688 292656 307664 428532 461496 499954 571376 749931 857064 922992 999908 1499862 1714128 1999816 2999724 3999632 5999448 11998896