Search a number
-
+
1268608 = 27111753
BaseRepresentation
bin100110101101110000000
32101110012111
410311232000
5311043413
643105104
713532365
oct4655600
92343174
101268608
11797140
12512194
13355573
1425046c
151a0d3d
hex135b80

1268608 has 64 divisors (see below), whose sum is σ = 2974320. Its totient is φ = 532480.

The previous prime is 1268599. The next prime is 1268621. The reversal of 1268608 is 8068621.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1268608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23910 + ... + 23962.

21268608 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 1268608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487160).

1268608 is an abundant number, since it is smaller than the sum of its proper divisors (1705712).

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

1268608 is a wasteful number, since it uses less digits than its factorization.

1268608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 1268608 is about 1126.3249975029. The cubic root of 1268608 is about 108.2536334245.

The spelling of 1268608 in words is "one million, two hundred sixty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 53 64 68 88 106 128 136 176 187 212 272 352 374 424 544 583 704 748 848 901 1088 1166 1408 1496 1696 1802 2176 2332 2992 3392 3604 4664 5984 6784 7208 9328 9911 11968 14416 18656 19822 23936 28832 37312 39644 57664 74624 79288 115328 158576 317152 634304 1268608