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12085488 = 2432234189
BaseRepresentation
bin101110000110…
…100011110000
3211202000011200
4232012203300
511043213423
61111011200
7204503442
oct56064360
924660150
1012085488
116905008
124069b00
132671b9c
141868492
1510dad43
hexb868f0

12085488 has 120 divisors (see below), whose sum is σ = 36560160. Its totient is φ = 3717120.

The previous prime is 12085471. The next prime is 12085517. The reversal of 12085488 is 88458021.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 135748 + ... + 135836.

It is an arithmetic number, because the mean of its divisors is an integer number (304668).

Almost surely, 212085488 is an apocalyptic number.

12085488 is a gapful number since it is divisible by the number (18) 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 12085488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18280080).

12085488 is an abundant number, since it is smaller than the sum of its proper divisors (24474672).

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

12085488 is a wasteful number, since it uses less digits than its factorization.

12085488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 12085488 is about 3476.4188470321. The cubic root of 12085488 is about 229.4852255287.

The spelling of 12085488 in words is "twelve million, eighty-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 41 46 48 69 72 82 89 92 123 138 144 164 178 184 207 246 267 276 328 356 368 369 414 492 534 552 656 712 738 801 828 943 984 1068 1104 1424 1476 1602 1656 1886 1968 2047 2136 2829 2952 3204 3312 3649 3772 4094 4272 5658 5904 6141 6408 7298 7544 8188 8487 10947 11316 12282 12816 14596 15088 16376 16974 18423 21894 22632 24564 29192 32752 32841 33948 36846 43788 45264 49128 58384 65682 67896 73692 83927 87576 98256 131364 135792 147384 167854 175152 251781 262728 294768 335708 503562 525456 671416 755343 1007124 1342832 1510686 2014248 3021372 4028496 6042744 12085488