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13128324 = 22311271367
BaseRepresentation
bin110010000101…
…001010000100
3220200222200020
4302011022010
511330101244
61145215140
7216405666
oct62051204
926628606
1013128324
117457560
1244914b0
132948751
141a5a536
151244d19
hexc85284

13128324 has 48 divisors (see below), whose sum is σ = 33632256. Its totient is φ = 3952800.

The previous prime is 13128319. The next prime is 13128337. The reversal of 13128324 is 42382131.

It is a junction number, because it is equal to n+sod(n) for n = 13128294 and 13128303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35589 + ... + 35955.

It is an arithmetic number, because the mean of its divisors is an integer number (700672).

Almost surely, 213128324 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 13128324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16816128).

13128324 is an abundant number, since it is smaller than the sum of its proper divisors (20503932).

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

13128324 is a wasteful number, since it uses less digits than its factorization.

13128324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 654 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 13128324 is about 3623.3029130891. The cubic root of 13128324 is about 235.9046104967.

The spelling of 13128324 in words is "thirteen million, one hundred twenty-eight thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 271 367 542 734 813 1084 1101 1468 1626 2202 2981 3252 4037 4404 5962 8074 8943 11924 12111 16148 17886 24222 35772 48444 99457 198914 298371 397828 596742 1094027 1193484 2188054 3282081 4376108 6564162 13128324