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5528640 = 263513443
BaseRepresentation
bin10101000101110001000000
3101101212212110
4111011301000
52403404030
6314255320
764664325
oct25056100
911355773
105528640
113136827
121a27540
1311b75b0
14a3cb4c
157431b0
hex545c40

5528640 has 112 divisors (see below), whose sum is σ = 18946368. Its totient is φ = 1357824.

The previous prime is 5528623. The next prime is 5528641. The reversal of 5528640 is 468255.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5528598 and 5528607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5528641) 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, 12259 + ... + 12701.

It is an arithmetic number, because the mean of its divisors is an integer number (169164).

Almost surely, 25528640 is an apocalyptic number.

5528640 is the 1920-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9473184).

5528640 is an abundant number, since it is smaller than the sum of its proper divisors (13417728).

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

5528640 is a wasteful number, since it uses less digits than its factorization.

5528640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 5528640 is about 2351.3060200663. The cubic root of 5528640 is about 176.8232779216.

The spelling of 5528640 in words is "five million, five hundred twenty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 443 480 520 624 780 832 886 960 1040 1248 1329 1560 1772 2080 2215 2496 2658 3120 3544 4160 4430 5316 5759 6240 6645 7088 8860 10632 11518 12480 13290 14176 17277 17720 21264 23036 26580 28352 28795 34554 35440 42528 46072 53160 57590 69108 70880 85056 86385 92144 106320 115180 138216 141760 172770 184288 212640 230360 276432 345540 368576 425280 460720 552864 691080 921440 1105728 1382160 1842880 2764320 5528640