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5627120 = 245312269
BaseRepresentation
bin10101011101110011110000
3101120212221212
4111131303300
52420031440
6320335252
765554412
oct25356360
911525855
105627120
1131a3814
121a74528
131220375
14a669b2
15762465
hex55dcf0

5627120 has 40 divisors (see below), whose sum is σ = 13511040. Its totient is φ = 2177280.

The previous prime is 5627101. The next prime is 5627143. The reversal of 5627120 is 217265.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1346 + ... + 3614.

It is an arithmetic number, because the mean of its divisors is an integer number (337776).

Almost surely, 25627120 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 5627120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6755520).

5627120 is an abundant number, since it is smaller than the sum of its proper divisors (7883920).

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

5627120 is a wasteful number, since it uses less digits than its factorization.

5627120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 5627120 is about 2372.1551382656. The cubic root of 5627120 is about 177.8670049776.

The spelling of 5627120 in words is "five million, six hundred twenty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2269 2480 4538 9076 11345 18152 22690 36304 45380 70339 90760 140678 181520 281356 351695 562712 703390 1125424 1406780 2813560 5627120