Search a number
-
+
1125696 = 263111341
BaseRepresentation
bin100010010110101000000
32010012011110
410102311000
5242010241
640043320
712365625
oct4226500
92105143
101125696
116a9830
12463540
133054c0
1421434c
15173816
hex112d40

1125696 has 112 divisors (see below), whose sum is σ = 3584448. Its totient is φ = 307200.

The previous prime is 1125679. The next prime is 1125701. The reversal of 1125696 is 6965211.

1125696 = T123 + T124 + ... + T204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27436 + ... + 27476.

It is an arithmetic number, because the mean of its divisors is an integer number (32004).

21125696 is an apocalyptic number.

1125696 is a gapful number since it is divisible by the number (16) 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 1125696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792224).

1125696 is an abundant number, since it is smaller than the sum of its proper divisors (2458752).

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

1125696 is a wasteful number, since it uses less digits than its factorization.

1125696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 70 counting only the distinct ones).

The product of its digits is 3240, while the sum is 30.

The square root of 1125696 is about 1060.9882185962. The cubic root of 1125696 is about 104.0256347065.

It can be divided in two parts, 112569 and 6, that added together give a triangular number (112575 = T474).

The spelling of 1125696 in words is "one million, one hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 41 44 48 52 64 66 78 82 88 96 104 123 132 143 156 164 176 192 208 246 264 286 312 328 352 416 429 451 492 528 533 572 624 656 704 832 858 902 984 1056 1066 1144 1248 1312 1353 1599 1716 1804 1968 2112 2132 2288 2496 2624 2706 3198 3432 3608 3936 4264 4576 5412 5863 6396 6864 7216 7872 8528 9152 10824 11726 12792 13728 14432 17056 17589 21648 23452 25584 27456 28864 34112 35178 43296 46904 51168 70356 86592 93808 102336 140712 187616 281424 375232 562848 1125696