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5272960 = 275711107
BaseRepresentation
bin10100000111010110000000
3100220220010211
4110013112000
52322213320
6305003504
762551030
oct24072600
910826124
105272960
112a81720
121923594
1311280c4
149b38c0
156e255a
hex507580

5272960 has 128 divisors (see below), whose sum is σ = 15863040. Its totient is φ = 1628160.

The previous prime is 5272951. The next prime is 5272963. The reversal of 5272960 is 692725.

5272960 = T253 + T254 + ... + T362.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5272963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49227 + ... + 49333.

It is an arithmetic number, because the mean of its divisors is an integer number (123930).

Almost surely, 25272960 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 5272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7931520).

5272960 is an abundant number, since it is smaller than the sum of its proper divisors (10590080).

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

5272960 is a wasteful number, since it uses less digits than its factorization.

5272960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 5272960 is about 2296.2926642743. The cubic root of 5272960 is about 174.0543275110.

The spelling of 5272960 in words is "five million, two hundred seventy-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 107 110 112 128 140 154 160 176 214 220 224 280 308 320 352 385 428 440 448 535 560 616 640 704 749 770 856 880 896 1070 1120 1177 1232 1408 1498 1540 1712 1760 2140 2240 2354 2464 2996 3080 3424 3520 3745 4280 4480 4708 4928 5885 5992 6160 6848 7040 7490 8239 8560 9416 9856 11770 11984 12320 13696 14980 16478 17120 18832 23540 23968 24640 29960 32956 34240 37664 41195 47080 47936 49280 59920 65912 68480 75328 82390 94160 95872 119840 131824 150656 164780 188320 239680 263648 329560 376640 479360 527296 659120 753280 1054592 1318240 2636480 5272960