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12010880 = 27572383
BaseRepresentation
bin101101110100…
…010110000000
3211121012211102
4231310112000
511033322010
61105233532
7204043100
oct55642600
924535742
1012010880
116863a52
1240328a8
132646c3b
141849200
1510c3ba5
hexb74580

12010880 has 96 divisors (see below), whose sum is σ = 33488640. Its totient is φ = 4107264.

The previous prime is 12010877. The next prime is 12010931. The reversal of 12010880 is 8801021.

It is a super-2 number, since 2×120108802 = 288522476748800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31169 + ... + 31551.

It is an arithmetic number, because the mean of its divisors is an integer number (348840).

Almost surely, 212010880 is an apocalyptic number.

12010880 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 12010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16744320).

12010880 is an abundant number, since it is smaller than the sum of its proper divisors (21477760).

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

12010880 is an equidigital number, since it uses as much as digits as its factorization.

12010880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 12010880 is about 3465.6716520755. The cubic root of 12010880 is about 229.0120192264.

The spelling of 12010880 in words is "twelve million, ten thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 383 392 448 490 560 640 766 784 896 980 1120 1532 1568 1915 1960 2240 2681 3064 3136 3830 3920 4480 5362 6128 6272 7660 7840 10724 12256 13405 15320 15680 18767 21448 24512 26810 30640 31360 37534 42896 49024 53620 61280 75068 85792 93835 107240 122560 150136 171584 187670 214480 245120 300272 343168 375340 428960 600544 750680 857920 1201088 1501360 1715840 2402176 3002720 6005440 12010880