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663245440 = 27511137247
BaseRepresentation
bin100111100010000…
…101001010000000
31201020000100200221
4213202011022000
52324242323230
6145451352424
722302331114
oct4742051200
91636010627
10663245440
11310426130
12166152714
13a7540b30
146412b744
153d36227a
hex27885280

663245440 has 128 divisors (see below), whose sum is σ = 1863025920. Its totient is φ = 222597120.

The previous prime is 663245431. The next prime is 663245467. The reversal of 663245440 is 44542366.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 663245396 and 663245405.

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, 87897 + ... + 95143.

It is an arithmetic number, because the mean of its divisors is an integer number (14554890).

Almost surely, 2663245440 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 663245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931512960).

663245440 is an abundant number, since it is smaller than the sum of its proper divisors (1199780480).

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

663245440 is a wasteful number, since it uses less digits than its factorization.

663245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7290 (or 7278 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

The square root of 663245440 is about 25753.5519880268. The cubic root of 663245440 is about 872.0835427632.

The spelling of 663245440 in words is "six hundred sixty-three million, two hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 128 130 143 160 176 208 220 260 286 320 352 416 440 520 572 640 704 715 832 880 1040 1144 1408 1430 1664 1760 2080 2288 2860 3520 4160 4576 5720 7040 7247 8320 9152 11440 14494 18304 22880 28988 36235 45760 57976 72470 79717 91520 94211 115952 144940 159434 188422 231904 289880 318868 376844 398585 463808 471055 579760 637736 753688 797170 927616 942110 1036321 1159520 1275472 1507376 1594340 1884220 2072642 2319040 2550944 3014752 3188680 3768440 4145284 4638080 5101888 5181605 6029504 6377360 7536880 8290568 10203776 10363210 12059008 12754720 15073760 16581136 20726420 25509440 30147520 33162272 41452840 51018880 60295040 66324544 82905680 132649088 165811360 331622720 663245440