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1296672 = 253131039
BaseRepresentation
bin100111100100100100000
32102212200220
410330210200
5312443142
643443040
714010246
oct4744440
92385626
101296672
11806233
12526480
13365280
1425a796
151a92ec
hex13c920

1296672 has 48 divisors (see below), whose sum is σ = 3669120. Its totient is φ = 398592.

The previous prime is 1296649. The next prime is 1296679. The reversal of 1296672 is 2766921.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (1296679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 729 + ... + 1767.

It is an arithmetic number, because the mean of its divisors is an integer number (76440).

21296672 is an apocalyptic number.

1296672 is a gapful number since it is divisible by the number (12) 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 1296672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834560).

1296672 is an abundant number, since it is smaller than the sum of its proper divisors (2372448).

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

1296672 is a wasteful number, since it uses less digits than its factorization.

1296672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1057 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 1296672 is about 1138.7150653258. The cubic root of 1296672 is about 109.0460765274.

The spelling of 1296672 in words is "one million, two hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1039 1248 2078 3117 4156 6234 8312 12468 13507 16624 24936 27014 33248 40521 49872 54028 81042 99744 108056 162084 216112 324168 432224 648336 1296672