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11125464 = 2337471409
BaseRepresentation
bin101010011100…
…001011011000
3202221020021020
4222130023120
510322003324
61034242440
7163364520
oct52341330
922836236
1011125464
1163097a9
123886420
1323c6c1c
141698680
15e9b679
hexa9c2d8

11125464 has 64 divisors (see below), whose sum is σ = 32486400. Its totient is φ = 3108864.

The previous prime is 11125459. The next prime is 11125481. The reversal of 11125464 is 46452111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7192 + ... + 8600.

It is an arithmetic number, because the mean of its divisors is an integer number (507600).

Almost surely, 211125464 is an apocalyptic number.

11125464 is a gapful number since it is divisible by the number (14) 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 11125464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16243200).

11125464 is an abundant number, since it is smaller than the sum of its proper divisors (21360936).

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

11125464 is a wasteful number, since it uses less digits than its factorization.

11125464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1468 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 11125464 is about 3335.4855718471. The cubic root of 11125464 is about 223.2403583192.

Adding to 11125464 its reverse (46452111), we get a palindrome (57577575).

The spelling of 11125464 in words is "eleven million, one hundred twenty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 282 329 376 564 658 987 1128 1316 1409 1974 2632 2818 3948 4227 5636 7896 8454 9863 11272 16908 19726 29589 33816 39452 59178 66223 78904 118356 132446 198669 236712 264892 397338 463561 529784 794676 927122 1390683 1589352 1854244 2781366 3708488 5562732 11125464