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12088505 = 5112132953
BaseRepresentation
bin101110000111…
…010010111001
3211202011022102
4232013102321
511043313010
61111033145
7204515312
oct56072271
924664272
1012088505
116907300
12406b7b5
132673380
141869609
1510dbba5
hexb874b9

12088505 has 48 divisors (see below), whose sum is σ = 18098640. Its totient is φ = 7687680.

The previous prime is 12088499. The next prime is 12088507. The reversal of 12088505 is 50588021.

It can be written as a sum of positive squares in 8 ways, for example, as 234256 + 11854249 = 484^2 + 3443^2 .

It is not a de Polignac number, because 12088505 - 26 = 12088441 is a prime.

It is a super-2 number, since 2×120885052 = 292263906270050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12088507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228059 + ... + 228111.

It is an arithmetic number, because the mean of its divisors is an integer number (377055).

Almost surely, 212088505 is an apocalyptic number.

It is an amenable number.

12088505 is a deficient number, since it is larger than the sum of its proper divisors (6010135).

12088505 is a wasteful number, since it uses less digits than its factorization.

12088505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 29.

The square root of 12088505 is about 3476.8527435024. The cubic root of 12088505 is about 229.5043200361.

The spelling of 12088505 in words is "twelve million, eighty-eight thousand, five hundred five".

Divisors: 1 5 11 13 29 53 55 65 121 143 145 265 319 377 583 605 689 715 1537 1573 1595 1885 2915 3445 3509 4147 6413 7579 7685 7865 16907 17545 19981 20735 32065 37895 45617 83369 84535 99905 185977 219791 228085 416845 929885 1098955 2417701 12088505