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5350560 = 253571157
BaseRepresentation
bin10100011010010010100000
3101001211120220
4110122102200
52332204220
6310403040
763323205
oct24322240
911054526
105350560
113024a56
121960480
131154517
149d3cac
1570a540
hex51a4a0

5350560 has 96 divisors (see below), whose sum is σ = 17200512. Its totient is φ = 1397760.

The previous prime is 5350537. The next prime is 5350561. The reversal of 5350560 is 650535.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5350560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5350561) 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, 34002 + ... + 34158.

It is an arithmetic number, because the mean of its divisors is an integer number (179172).

Almost surely, 25350560 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 5350560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8600256).

5350560 is an abundant number, since it is smaller than the sum of its proper divisors (11849952).

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

5350560 is a wasteful number, since it uses less digits than its factorization.

5350560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 5350560 is about 2313.1277526328. The cubic root of 5350560 is about 174.9040017705.

The spelling of 5350560 in words is "five million, three hundred fifty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 71 80 96 120 142 157 160 213 240 284 314 355 426 471 480 568 628 710 785 852 942 1065 1136 1256 1420 1570 1704 1884 2130 2272 2355 2512 2840 3140 3408 3768 4260 4710 5024 5680 6280 6816 7536 8520 9420 11147 11360 12560 15072 17040 18840 22294 25120 33441 34080 37680 44588 55735 66882 75360 89176 111470 133764 167205 178352 222940 267528 334410 356704 445880 535056 668820 891760 1070112 1337640 1783520 2675280 5350560