Search a number
-
+
1268910 = 232523613
BaseRepresentation
bin100110101110010101110
32101110121200
410311302232
5311101120
643110330
713533306
oct4656256
92343550
101268910
11797395
125123a6
13355746
14250606
151a0e90
hex135cae

1268910 has 48 divisors (see below), whose sum is σ = 3448224. Its totient is φ = 323136.

The previous prime is 1268899. The next prime is 1268921. The reversal of 1268910 is 198621.

It is an interprime number because it is at equal distance from previous prime (1268899) and next prime (1268921).

It is a super-2 number, since 2×12689102 = 3220265176200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1764 + ... + 2376.

It is an arithmetic number, because the mean of its divisors is an integer number (71838).

21268910 is an apocalyptic number.

1268910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1268910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724112).

1268910 is an abundant number, since it is smaller than the sum of its proper divisors (2179314).

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

1268910 is a wasteful number, since it uses less digits than its factorization.

1268910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1268910 is about 1126.4590538497. The cubic root of 1268910 is about 108.2622228925.

The spelling of 1268910 in words is "one million, two hundred sixty-eight thousand, nine hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 613 690 1035 1226 1839 2070 3065 3678 5517 6130 9195 11034 14099 18390 27585 28198 42297 55170 70495 84594 126891 140990 211485 253782 422970 634455 1268910