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1325016 = 2332711239
BaseRepresentation
bin101000011011111011000
32111022120200
411003133120
5314400031
644222200
714156010
oct5033730
92438520
101325016
11825560
1253a960
13375144
14266c40
151b28e6
hex1437d8

1325016 has 96 divisors (see below), whose sum is σ = 4492800. Its totient is φ = 342720.

The previous prime is 1325011. The next prime is 1325017. The reversal of 1325016 is 6105231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 1325016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1325011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5425 + ... + 5663.

It is an arithmetic number, because the mean of its divisors is an integer number (46800).

21325016 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 1325016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246400).

1325016 is an abundant number, since it is smaller than the sum of its proper divisors (3167784).

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

1325016 is a wasteful number, since it uses less digits than its factorization.

1325016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1325016 is about 1151.0933932570. The cubic root of 1325016 is about 109.8349038506.

The spelling of 1325016 in words is "one million, three hundred twenty-five thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 239 252 264 308 396 462 478 504 616 693 717 792 924 956 1386 1434 1673 1848 1912 2151 2629 2772 2868 3346 4302 5019 5258 5544 5736 6692 7887 8604 10038 10516 13384 15057 15774 17208 18403 20076 21032 23661 30114 31548 36806 40152 47322 55209 60228 63096 73612 94644 110418 120456 147224 165627 189288 220836 331254 441672 662508 1325016