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1291312 = 241122329
BaseRepresentation
bin100111011010000110000
32102121100101
410323100300
5312310222
643402144
713655521
oct4732060
92377311
101291312
11802200
12523354
133629b9
14258848
151a7927
hex13b430

1291312 has 60 divisors (see below), whose sum is σ = 2968560. Its totient is φ = 542080.

The previous prime is 1291271. The next prime is 1291313. The reversal of 1291312 is 2131921.

It is a self number, because there is not a number n which added to its sum of digits gives 1291312.

It is not an unprimeable number, because it can be changed into a prime (1291313) 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, 44514 + ... + 44542.

It is an arithmetic number, because the mean of its divisors is an integer number (49476).

21291312 is an apocalyptic number.

1291312 is the 928-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1291312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484280).

1291312 is an abundant number, since it is smaller than the sum of its proper divisors (1677248).

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

1291312 is a wasteful number, since it uses less digits than its factorization.

1291312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 65 counting only the distinct ones).

The product of its digits is 108, while the sum is 19.

The square root of 1291312 is about 1136.3590981728. The cubic root of 1291312 is about 108.8956159171.

It can be divided in two parts, 129 and 1312, that added together give a palindrome (1441).

The spelling of 1291312 in words is "one million, two hundred ninety-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 23 29 44 46 58 88 92 116 121 176 184 232 242 253 319 368 464 484 506 638 667 968 1012 1276 1334 1936 2024 2552 2668 2783 3509 4048 5104 5336 5566 7018 7337 10672 11132 14036 14674 22264 28072 29348 44528 56144 58696 80707 117392 161414 322828 645656 1291312