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1307328 = 26311619
BaseRepresentation
bin100111111001011000000
32110102022120
410333023000
5313313303
644004240
714053311
oct4771300
92412276
101307328
11813240
12530680
1336a089
14260608
151ac553
hex13f2c0

1307328 has 56 divisors (see below), whose sum is σ = 3779520. Its totient is φ = 395520.

The previous prime is 1307311. The next prime is 1307347. The reversal of 1307328 is 8237031.

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

It is a junction number, because it is equal to n+sod(n) for n = 1307298 and 1307307.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1803 + ... + 2421.

21307328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1307328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889760).

1307328 is an abundant number, since it is smaller than the sum of its proper divisors (2472192).

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

1307328 is a wasteful number, since it uses less digits than its factorization.

1307328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 1307328 is about 1143.3844497806. The cubic root of 1307328 is about 109.3439741114.

The spelling of 1307328 in words is "one million, three hundred seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 619 704 1056 1238 1857 2112 2476 3714 4952 6809 7428 9904 13618 14856 19808 20427 27236 29712 39616 40854 54472 59424 81708 108944 118848 163416 217888 326832 435776 653664 1307328