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2693268 = 223279947
BaseRepresentation
bin1010010001100010010100
312001211110200
422101202110
51142141033
6133420500
731615044
oct12214224
95054420
102693268
11157a546
12a9a730
13733b66
14501724
15383013
hex291894

2693268 has 36 divisors (see below), whose sum is σ = 6901440. Its totient is φ = 885456.

The previous prime is 2693263. The next prime is 2693279. The reversal of 2693268 is 8623962.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a d-powerful number, because it can be written as 211 + 65 + 96 + 3 + 213 + 66 + 87 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2693261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2371 + ... + 3317.

22693268 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 2693268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450720).

2693268 is an abundant number, since it is smaller than the sum of its proper divisors (4208172).

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

2693268 is a wasteful number, since it uses less digits than its factorization.

2693268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1031 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2693268 is about 1641.1179116688. The cubic root of 2693268 is about 139.1318384086.

It can be divided in two parts, 26932 and 68, that added together give a cube (27000 = 303).

The spelling of 2693268 in words is "two million, six hundred ninety-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 947 948 1422 1894 2841 2844 3788 5682 8523 11364 17046 34092 74813 149626 224439 299252 448878 673317 897756 1346634 2693268