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11290032 = 24321337163
BaseRepresentation
bin101011000100…
…010110110000
3210020121000100
4223010112300
510342240112
61041552400
7164651355
oct53042660
923217010
1011290032
116411406
123945700
132453ac0
1416dc62c
15ed02dc
hexac45b0

11290032 has 120 divisors (see below), whose sum is σ = 35160944. Its totient is φ = 3359232.

The previous prime is 11290003. The next prime is 11290043. The reversal of 11290032 is 23009211.

It is a happy number.

It is a super-2 number, since 2×112900322 = 254929645122048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11289987 and 11290014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69183 + ... + 69345.

Almost surely, 211290032 is an apocalyptic number.

11290032 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 11290032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17580472).

11290032 is an abundant number, since it is smaller than the sum of its proper divisors (23870912).

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

11290032 is a wasteful number, since it uses less digits than its factorization.

11290032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 11290032 is about 3360.0642850993. The cubic root of 11290032 is about 224.3356998799.

Adding to 11290032 its reverse (23009211), we get a palindrome (34299243).

The spelling of 11290032 in words is "eleven million, two hundred ninety thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 37 39 48 52 72 74 78 104 111 117 144 148 156 163 208 222 234 296 312 326 333 444 468 481 489 592 624 652 666 888 936 962 978 1304 1332 1443 1467 1776 1872 1924 1956 2119 2608 2664 2886 2934 3848 3912 4238 4329 5328 5772 5868 6031 6357 7696 7824 8476 8658 11544 11736 12062 12714 16952 17316 18093 19071 23088 23472 24124 25428 33904 34632 36186 38142 48248 50856 54279 69264 72372 76284 78403 96496 101712 108558 144744 152568 156806 217116 235209 289488 305136 313612 434232 470418 627224 705627 868464 940836 1254448 1411254 1881672 2822508 3763344 5645016 11290032