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11320023440 = 24511101127363
BaseRepresentation
bin10101000101011100…
…11101100110010000
31002012220121202212102
422202232131212100
5141140411222230
65111135215532
7550343416535
oct124256354620
932186552772
1011320023440
114889949180
12223b0775a8
1310b531642b
147955b6d8c
15463c06045
hex2a2b9d990

11320023440 has 80 divisors (see below), whose sum is σ = 28996197696. Its totient is φ = 4075584000.

The previous prime is 11320023439. The next prime is 11320023467. The reversal of 11320023440 is 4432002311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×113200234403 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25199 + ... + 152561.

Almost surely, 211320023440 is an apocalyptic number.

11320023440 is a gapful number since it is divisible by the number (10) 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 11320023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14498098848).

11320023440 is an abundant number, since it is smaller than the sum of its proper divisors (17676174256).

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

11320023440 is a wasteful number, since it uses less digits than its factorization.

11320023440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127488 (or 127482 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 11320023440 its reverse (4432002311), we get a palindrome (15752025751).

The spelling of 11320023440 in words is "eleven billion, three hundred twenty million, twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 202 220 404 440 505 808 880 1010 1111 1616 2020 2222 4040 4444 5555 8080 8888 11110 17776 22220 44440 88880 127363 254726 509452 636815 1018904 1273630 1400993 2037808 2547260 2801986 5094520 5603972 7004965 10189040 11207944 12863663 14009930 22415888 25727326 28019860 51454652 56039720 64318315 102909304 112079440 128636630 141500293 205818608 257273260 283000586 514546520 566001172 707501465 1029093040 1132002344 1415002930 2264004688 2830005860 5660011720 11320023440