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11981024 = 2511101337
BaseRepresentation
bin101101101101…
…000011100000
3211112200212122
4231231003200
511031343044
61104443412
7203560046
oct55550340
924480778
1011981024
116843580
124019568
132636483
14183c396
1510b9dee
hexb6d0e0

11981024 has 48 divisors (see below), whose sum is σ = 26063856. Its totient is φ = 5376000.

The previous prime is 11981023. The next prime is 11981027. The reversal of 11981024 is 42018911.

It is a junction number, because it is equal to n+sod(n) for n = 11980984 and 11981002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11981023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35384 + ... + 35720.

It is an arithmetic number, because the mean of its divisors is an integer number (542997).

Almost surely, 211981024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11981024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13031928).

11981024 is an abundant number, since it is smaller than the sum of its proper divisors (14082832).

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

11981024 is a wasteful number, since it uses less digits than its factorization.

11981024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 11981024 is about 3461.3615818056. The cubic root of 11981024 is about 228.8221065246.

Adding to 11981024 its reverse (42018911), we get a palindrome (53999935).

It can be divided in two parts, 1198 and 1024, that added together give a palindrome (2222).

The spelling of 11981024 in words is "eleven million, nine hundred eighty-one thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 101 176 202 337 352 404 674 808 1111 1348 1616 2222 2696 3232 3707 4444 5392 7414 8888 10784 14828 17776 29656 34037 35552 59312 68074 118624 136148 272296 374407 544592 748814 1089184 1497628 2995256 5990512 11981024