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12071772 = 22322931373
BaseRepresentation
bin101110000011…
…001101011100
3211201022100200
4232003031130
511042244042
61110423500
7204415446
oct56031534
924638320
1012071772
1168a5779
124061b90
13266887b
141863496
1510d6c4c
hexb8335c

12071772 has 72 divisors (see below), whose sum is σ = 32672640. Its totient is φ = 3749760.

The previous prime is 12071749. The next prime is 12071779. The reversal of 12071772 is 27717021.

12071772 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 not an unprimeable number, because it can be changed into a prime (12071779) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32178 + ... + 32550.

Almost surely, 212071772 is an apocalyptic number.

12071772 is a gapful number since it is divisible by the number (12) 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 12071772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16336320).

12071772 is an abundant number, since it is smaller than the sum of its proper divisors (20600868).

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

12071772 is a wasteful number, since it uses less digits than its factorization.

12071772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 12071772 is about 3474.4455672812. The cubic root of 12071772 is about 229.3983772673.

Adding to 12071772 its reverse (27717021), we get a palindrome (39788793).

The spelling of 12071772 in words is "twelve million, seventy-one thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 29 31 36 58 62 87 93 116 124 174 186 261 279 348 372 373 522 558 746 899 1044 1116 1119 1492 1798 2238 2697 3357 3596 4476 5394 6714 8091 10788 10817 11563 13428 16182 21634 23126 32364 32451 34689 43268 46252 64902 69378 97353 104067 129804 138756 194706 208134 335327 389412 416268 670654 1005981 1341308 2011962 3017943 4023924 6035886 12071772