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5345280 = 21232529
BaseRepresentation
bin10100011001000000000000
3101001120100100
4110121000000
52332022110
6310322400
763301623
oct24310000
911046310
105345280
113020a96
121959400
131151cb5
149d1dba
15708bc0
hex519000

5345280 has 156 divisors (see below), whose sum is σ = 19166940. Its totient is φ = 1376256.

The previous prime is 5345273. The next prime is 5345281. The reversal of 5345280 is 825435.

5345280 is a `hidden beast` number, since 534 + 52 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2359296 + 2985984 = 1536^2 + 1728^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5345281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184306 + ... + 184334.

It is an arithmetic number, because the mean of its divisors is an integer number (122865).

Almost surely, 25345280 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 5345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9583470).

5345280 is an abundant number, since it is smaller than the sum of its proper divisors (13821660).

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

5345280 is a wasteful number, since it uses less digits than its factorization.

5345280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5345280 is about 2311.9861591281. The cubic root of 5345280 is about 174.8464503449.

It can be divided in two parts, 5345 and 280, that added together give a square (5625 = 752).

The spelling of 5345280 in words is "five million, three hundred forty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 64 72 80 87 90 96 116 120 128 144 145 160 174 180 192 232 240 256 261 288 290 320 348 360 384 435 464 480 512 522 576 580 640 696 720 768 870 928 960 1024 1044 1152 1160 1280 1305 1392 1440 1536 1740 1856 1920 2048 2088 2304 2320 2560 2610 2784 2880 3072 3480 3712 3840 4096 4176 4608 4640 5120 5220 5568 5760 6144 6960 7424 7680 8352 9216 9280 10240 10440 11136 11520 12288 13920 14848 15360 16704 18432 18560 20480 20880 22272 23040 27840 29696 30720 33408 36864 37120 41760 44544 46080 55680 59392 61440 66816 74240 83520 89088 92160 111360 118784 133632 148480 167040 178176 184320 222720 267264 296960 334080 356352 445440 534528 593920 668160 890880 1069056 1336320 1781760 2672640 5345280