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5626320 = 2435717197
BaseRepresentation
bin10101011101100111010000
3101120211212020
4111131213100
52420020240
6320331440
765552160
oct25354720
911524766
105626320
1131a3157
121a73b80
13121cbab
14a665a0
157620d0
hex55d9d0

5626320 has 160 divisors (see below), whose sum is σ = 21212928. Its totient is φ = 1204224.

The previous prime is 5626289. The next prime is 5626333. The reversal of 5626320 is 236265.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28462 + ... + 28658.

Almost surely, 25626320 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 5626320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10606464).

5626320 is an abundant number, since it is smaller than the sum of its proper divisors (15586608).

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

5626320 is a wasteful number, since it uses less digits than its factorization.

5626320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 5626320 is about 2371.9865092365. The cubic root of 5626320 is about 177.8585755414.

The spelling of 5626320 in words is "five million, six hundred twenty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 34 35 40 42 48 51 56 60 68 70 80 84 85 102 105 112 119 120 136 140 168 170 197 204 210 238 240 255 272 280 336 340 357 394 408 420 476 510 560 591 595 680 714 788 816 840 952 985 1020 1182 1190 1360 1379 1428 1576 1680 1785 1904 1970 2040 2364 2380 2758 2856 2955 3152 3349 3570 3940 4080 4137 4728 4760 5516 5712 5910 6698 6895 7140 7880 8274 9456 9520 10047 11032 11820 13396 13790 14280 15760 16548 16745 20094 20685 22064 23443 23640 26792 27580 28560 33096 33490 40188 41370 46886 47280 50235 53584 55160 66192 66980 70329 80376 82740 93772 100470 110320 117215 133960 140658 160752 165480 187544 200940 234430 267920 281316 330960 351645 375088 401880 468860 562632 703290 803760 937720 1125264 1406580 1875440 2813160 5626320