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11131480 = 2353147191
BaseRepresentation
bin101010011101…
…101001011000
3202221112112001
4222131221120
510322201410
61034330344
7163421203
oct52355130
922845461
1011131480
116313278
1238899b4
1323c9899
14169a93a
15e9d33a
hexa9da58

11131480 has 64 divisors (see below), whose sum is σ = 26542080. Its totient is φ = 4195200.

The previous prime is 11131469. The next prime is 11131493. The reversal of 11131480 is 8413111.

11131480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 58185 + ... + 58375.

It is an arithmetic number, because the mean of its divisors is an integer number (414720).

Almost surely, 211131480 is an apocalyptic number.

11131480 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 11131480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13271040).

11131480 is an abundant number, since it is smaller than the sum of its proper divisors (15410600).

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

11131480 is a wasteful number, since it uses less digits than its factorization.

11131480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 11131480 is about 3336.3872676894. The cubic root of 11131480 is about 223.2805895100.

Adding to 11131480 its reverse (8413111), we get a palindrome (19544591).

It can be divided in two parts, 11131 and 480, that added together give a palindrome (11611).

The spelling of 11131480 in words is "eleven million, one hundred thirty-one thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 47 62 94 124 155 188 191 235 248 310 376 382 470 620 764 940 955 1240 1457 1528 1880 1910 2914 3820 5828 5921 7285 7640 8977 11656 11842 14570 17954 23684 29140 29605 35908 44885 47368 58280 59210 71816 89770 118420 179540 236840 278287 359080 556574 1113148 1391435 2226296 2782870 5565740 11131480