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5335680 = 27357397
BaseRepresentation
bin10100010110101010000000
3101001002011210
4110112222000
52331220210
6310210120
763231630
oct24265200
911032153
105335680
113014859
121953940
13114a80c
149cc6c0
15705e20
hex516a80

5335680 has 128 divisors (see below), whose sum is σ = 19486080. Its totient is φ = 1216512.

The previous prime is 5335667. The next prime is 5335691. The reversal of 5335680 is 865335.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13242 + ... + 13638.

It is an arithmetic number, because the mean of its divisors is an integer number (152235).

Almost surely, 25335680 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 5335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9743040).

5335680 is an abundant number, since it is smaller than the sum of its proper divisors (14150400).

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

5335680 is a wasteful number, since it uses less digits than its factorization.

5335680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 5335680 is about 2309.9090891202. The cubic root of 5335680 is about 174.7417142168.

The spelling of 5335680 in words is "five million, three hundred thirty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 397 420 448 480 560 640 672 794 840 896 960 1120 1191 1344 1588 1680 1920 1985 2240 2382 2688 2779 3176 3360 3970 4480 4764 5558 5955 6352 6720 7940 8337 9528 11116 11910 12704 13440 13895 15880 16674 19056 22232 23820 25408 27790 31760 33348 38112 41685 44464 47640 50816 55580 63520 66696 76224 83370 88928 95280 111160 127040 133392 152448 166740 177856 190560 222320 254080 266784 333480 355712 381120 444640 533568 666960 762240 889280 1067136 1333920 1778560 2667840 5335680