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5418720 = 253255371
BaseRepresentation
bin10100101010111011100000
3101012022002100
4110222323200
52341344340
6312050400
764026006
oct24527340
911168070
105418720
11307118a
121993a00
131179558
14a10a76
15720830
hex52aee0

5418720 has 144 divisors (see below), whose sum is σ = 19105632. Its totient is φ = 1397760.

The previous prime is 5418719. The next prime is 5418739. The reversal of 5418720 is 278145.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76285 + ... + 76355.

It is an arithmetic number, because the mean of its divisors is an integer number (132678).

Almost surely, 25418720 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 5418720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9552816).

5418720 is an abundant number, since it is smaller than the sum of its proper divisors (13686912).

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

5418720 is a wasteful number, since it uses less digits than its factorization.

5418720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 5418720 is about 2327.8144255932. The cubic root of 5418720 is about 175.6435623715.

It can be divided in two parts, 541 and 8720, that added together give a cube (9261 = 213).

The spelling of 5418720 in words is "five million, four hundred eighteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 53 60 71 72 80 90 96 106 120 142 144 159 160 180 212 213 240 265 284 288 318 355 360 424 426 477 480 530 568 636 639 710 720 795 848 852 954 1060 1065 1136 1272 1278 1420 1440 1590 1696 1704 1908 2120 2130 2272 2385 2544 2556 2840 3180 3195 3408 3763 3816 4240 4260 4770 5088 5112 5680 6360 6390 6816 7526 7632 8480 8520 9540 10224 11289 11360 12720 12780 15052 15264 17040 18815 19080 20448 22578 25440 25560 30104 33867 34080 37630 38160 45156 51120 56445 60208 67734 75260 76320 90312 102240 112890 120416 135468 150520 169335 180624 225780 270936 301040 338670 361248 451560 541872 602080 677340 903120 1083744 1354680 1806240 2709360 5418720