Search a number
-
+
11368890 = 2335134179
BaseRepresentation
bin101011010111…
…100110111010
3210101121012000
4223113212322
510402301030
61043401430
7165430311
oct53274672
923347160
1011368890
116465685
123983276
132480970
14171d278
15ee8860
hexad79ba

11368890 has 128 divisors (see below), whose sum is σ = 33868800. Its totient is φ = 2695680.

The previous prime is 11368873. The next prime is 11368901. The reversal of 11368890 is 9886311.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143871 + ... + 143949.

It is an arithmetic number, because the mean of its divisors is an integer number (264600).

Almost surely, 211368890 is an apocalyptic number.

11368890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11368890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

11368890 is an abundant number, since it is smaller than the sum of its proper divisors (22499910).

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

11368890 is a wasteful number, since it uses less digits than its factorization.

11368890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 11368890 is about 3371.7784624735. The cubic root of 11368890 is about 224.8567977665.

The spelling of 11368890 in words is "eleven million, three hundred sixty-eight thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 41 45 54 65 78 79 82 90 117 123 130 135 158 195 205 234 237 246 270 351 369 390 395 410 474 533 585 615 702 711 738 790 1027 1066 1107 1170 1185 1230 1422 1599 1755 1845 2054 2133 2214 2370 2665 3081 3198 3239 3510 3555 3690 4266 4797 5135 5330 5535 6162 6478 7110 7995 9243 9594 9717 10270 10665 11070 14391 15405 15990 16195 18486 19434 21330 23985 27729 28782 29151 30810 32390 42107 46215 47970 48585 55458 58302 71955 84214 87453 92430 97170 126321 138645 143910 145755 174906 210535 252642 277290 291510 378963 421070 437265 631605 757926 874530 1136889 1263210 1894815 2273778 3789630 5684445 11368890