Search a number
-
+
11862288 = 2438113
BaseRepresentation
bin101101010000…
…000100010000
3211022200000000
4231100010100
511014043123
61102130000
7202553634
oct55200420
924280000
1011862288
116772349
123b80900
1325c4409
14180adc4
151094b43
hexb50110

11862288 has 90 divisors (see below), whose sum is σ = 34778094. Its totient is φ = 3919104.

The previous prime is 11862271. The next prime is 11862293. The reversal of 11862288 is 88226811.

It can be written as a sum of positive squares in only one way, i.e., 6718464 + 5143824 = 2592^2 + 2268^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 104920 + ... + 105032.

Almost surely, 211862288 is an apocalyptic number.

11862288 is a gapful number since it is divisible by the number (18) 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 11862288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17389047).

11862288 is an abundant number, since it is smaller than the sum of its proper divisors (22915806).

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

11862288 is an frugal number, since it uses more digits than its factorization.

11862288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 118 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 11862288 is about 3444.1672433260. The cubic root of 11862288 is about 228.0636941161.

The spelling of 11862288 in words is "eleven million, eight hundred sixty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 113 144 162 216 226 243 324 339 432 452 486 648 678 729 904 972 1017 1296 1356 1458 1808 1944 2034 2187 2712 2916 3051 3888 4068 4374 5424 5832 6102 6561 8136 8748 9153 11664 12204 13122 16272 17496 18306 24408 26244 27459 34992 36612 48816 52488 54918 73224 82377 104976 109836 146448 164754 219672 247131 329508 439344 494262 659016 741393 988524 1318032 1482786 1977048 2965572 3954096 5931144 11862288