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1330056 = 2332721329
BaseRepresentation
bin101000100101110001000
32111120111100
411010232020
5320030211
644301400
714206500
oct5045610
92446440
101330056
11829322
12541860
13377520
14268a00
151b4156
hex144b88

1330056 has 144 divisors (see below), whose sum is σ = 4668300. Its totient is φ = 338688.

The previous prime is 1330031. The next prime is 1330061. The reversal of 1330056 is 6500331.

It can be written as a sum of positive squares in 2 ways, for example, as 1285956 + 44100 = 1134^2 + 210^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45850 + ... + 45878.

21330056 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 1330056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334150).

1330056 is an abundant number, since it is smaller than the sum of its proper divisors (3338244).

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

1330056 is a wasteful number, since it uses less digits than its factorization.

1330056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 1330056 is about 1153.2805382907. The cubic root of 1330056 is about 109.9739883399.

Adding to 1330056 its reverse (6500331), we get a palindrome (7830387).

The spelling of 1330056 in words is "one million, three hundred thirty thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 29 36 39 42 49 52 56 58 63 72 78 84 87 91 98 104 116 117 126 147 156 168 174 182 196 203 232 234 252 261 273 294 312 348 364 377 392 406 441 468 504 522 546 588 609 637 696 728 754 812 819 882 936 1044 1092 1131 1176 1218 1274 1421 1508 1624 1638 1764 1827 1911 2088 2184 2262 2436 2548 2639 2842 3016 3276 3393 3528 3654 3822 4263 4524 4872 5096 5278 5684 5733 6552 6786 7308 7644 7917 8526 9048 10556 11368 11466 12789 13572 14616 15288 15834 17052 18473 21112 22932 23751 25578 27144 31668 34104 36946 45864 47502 51156 55419 63336 73892 95004 102312 110838 147784 166257 190008 221676 332514 443352 665028 1330056