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1261296 = 243219461
BaseRepresentation
bin100110011111011110000
32101002011200
410303323300
5310330141
643011200
713502151
oct4637360
92332150
101261296
117916a3
12509b00
1335213a
1424b928
1519dab6
hex133ef0

1261296 has 60 divisors (see below), whose sum is σ = 3723720. Its totient is φ = 397440.

The previous prime is 1261289. The next prime is 1261301. The reversal of 1261296 is 6921621.

It is a nude number because it is divisible by every one of its digits.

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, 2506 + ... + 2966.

It is an arithmetic number, because the mean of its divisors is an integer number (62062).

21261296 is an apocalyptic number.

1261296 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 1261296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861860).

1261296 is an abundant number, since it is smaller than the sum of its proper divisors (2462424).

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

1261296 is a wasteful number, since it uses less digits than its factorization.

1261296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 485 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 1261296 is about 1123.0743519465. The cubic root of 1261296 is about 108.0452485294.

The spelling of 1261296 in words is "one million, two hundred sixty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 461 684 912 922 1368 1383 1844 2736 2766 3688 4149 5532 7376 8298 8759 11064 16596 17518 22128 26277 33192 35036 52554 66384 70072 78831 105108 140144 157662 210216 315324 420432 630648 1261296