Search a number
-
+
2695968 = 2532112337
BaseRepresentation
bin1010010010001100100000
312001222011200
422102030200
51142232333
6133441200
731625652
oct12221440
95058150
102695968
111581580
12aa0200
13735162
145026d2
15383c13
hex292320

2695968 has 144 divisors (see below), whose sum is σ = 8963136. Its totient is φ = 760320.

The previous prime is 2695961. The next prime is 2695981. The reversal of 2695968 is 8695962.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2695961) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 72846 + ... + 72882.

It is an arithmetic number, because the mean of its divisors is an integer number (62244).

22695968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2695968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481568).

2695968 is an abundant number, since it is smaller than the sum of its proper divisors (6267168).

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

2695968 is a wasteful number, since it uses less digits than its factorization.

2695968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 76 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 2695968 is about 1641.9403156022. The cubic root of 2695968 is about 139.1783160833.

It can be divided in two parts, 2695 and 968, that added together give a palindrome (3663).

The spelling of 2695968 in words is "two million, six hundred ninety-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 32 33 36 37 44 46 48 66 69 72 74 88 92 96 99 111 132 138 144 148 176 184 198 207 222 253 264 276 288 296 333 352 368 396 407 414 444 506 528 552 592 666 736 759 792 814 828 851 888 1012 1056 1104 1184 1221 1332 1518 1584 1628 1656 1702 1776 2024 2208 2277 2442 2553 2664 3036 3168 3256 3312 3404 3552 3663 4048 4554 4884 5106 5328 6072 6512 6624 6808 7326 7659 8096 9108 9361 9768 10212 10656 12144 13024 13616 14652 15318 18216 18722 19536 20424 24288 27232 28083 29304 30636 36432 37444 39072 40848 56166 58608 61272 72864 74888 81696 84249 112332 117216 122544 149776 168498 224664 245088 299552 336996 449328 673992 898656 1347984 2695968