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5305410 = 23251123233
BaseRepresentation
bin10100001111010001000010
3100222112122200
4110033101002
52324233120
6305414030
763044445
oct24172102
910875580
105305410
112aa4040
12193a316
131139ac6
149c165c
156ebe90
hex50f442

5305410 has 96 divisors (see below), whose sum is σ = 15769728. Its totient is φ = 1224960.

The previous prime is 5305409. The next prime is 5305439. The reversal of 5305410 is 145035.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22654 + ... + 22886.

It is an arithmetic number, because the mean of its divisors is an integer number (164268).

Almost surely, 25305410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5305410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7884864).

5305410 is an abundant number, since it is smaller than the sum of its proper divisors (10464318).

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

5305410 is a wasteful number, since it uses less digits than its factorization.

5305410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5305410 is about 2303.3475638731. The cubic root of 5305410 is about 174.4106432707.

The spelling of 5305410 in words is "five million, three hundred five thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 30 33 45 46 55 66 69 90 99 110 115 138 165 198 207 230 233 253 330 345 414 466 495 506 690 699 759 990 1035 1165 1265 1398 1518 2070 2097 2277 2330 2530 2563 3495 3795 4194 4554 5126 5359 6990 7590 7689 10485 10718 11385 12815 15378 16077 20970 22770 23067 25630 26795 32154 38445 46134 48231 53590 58949 76890 80385 96462 115335 117898 160770 176847 230670 241155 294745 353694 482310 530541 589490 884235 1061082 1768470 2652705 5305410