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1271088 = 243271397
BaseRepresentation
bin100110110010100110000
32101120121100
410312110300
5311133323
643124400
713542540
oct4662460
92346540
101271088
11798a95
12513700
13356730
14251320
151a1943
hex136530

1271088 has 120 divisors (see below), whose sum is σ = 4423328. Its totient is φ = 331776.

The previous prime is 1271087. The next prime is 1271089. The reversal of 1271088 is 8801721.

1271088 = 93 + 103 + ... + 473.

It is an interprime number because it is at equal distance from previous prime (1271087) and next prime (1271089).

It is not an unprimeable number, because it can be changed into a prime (1271087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13056 + ... + 13152.

21271088 is an apocalyptic number.

1271088 is a gapful number since it is divisible by the number (18) 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 1271088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211664).

1271088 is an abundant number, since it is smaller than the sum of its proper divisors (3152240).

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

1271088 is a wasteful number, since it uses less digits than its factorization.

1271088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 1271088 is about 1127.4253855577. The cubic root of 1271088 is about 108.3241291325.

The spelling of 1271088 in words is "one million, two hundred seventy-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 97 104 112 117 126 144 156 168 182 194 208 234 252 273 291 312 336 364 388 468 504 546 582 624 679 728 776 819 873 936 1008 1092 1164 1261 1358 1456 1552 1638 1746 1872 2037 2184 2328 2522 2716 3276 3492 3783 4074 4368 4656 5044 5432 6111 6552 6984 7566 8148 8827 10088 10864 11349 12222 13104 13968 15132 16296 17654 20176 22698 24444 26481 30264 32592 35308 45396 48888 52962 60528 70616 79443 90792 97776 105924 141232 158886 181584 211848 317772 423696 635544 1271088