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1231296 = 26311253
BaseRepresentation
bin100101100100111000000
32022120000120
410230213000
5303400141
642220240
713315533
oct4544700
92276016
101231296
11771100
124b4680
133415a1
14240a1a
15194c66
hex12c9c0

1231296 has 84 divisors (see below), whose sum is σ = 3648456. Its totient is φ = 366080.

The previous prime is 1231283. The next prime is 1231301. The reversal of 1231296 is 6921321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23206 + ... + 23258.

It is an arithmetic number, because the mean of its divisors is an integer number (43434).

21231296 is an apocalyptic number.

1231296 is a gapful number since it is divisible by the number (16) 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 1231296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824228).

1231296 is an abundant number, since it is smaller than the sum of its proper divisors (2417160).

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

1231296 is a wasteful number, since it uses less digits than its factorization.

1231296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 69 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 1231296 is about 1109.6377787368. The cubic root of 1231296 is about 107.1817448680.

The spelling of 1231296 in words is "one million, two hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 64 66 88 96 106 121 132 159 176 192 212 242 264 318 352 363 424 484 528 583 636 704 726 848 968 1056 1166 1272 1452 1696 1749 1936 2112 2332 2544 2904 3392 3498 3872 4664 5088 5808 6413 6996 7744 9328 10176 11616 12826 13992 18656 19239 23232 25652 27984 37312 38478 51304 55968 76956 102608 111936 153912 205216 307824 410432 615648 1231296