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5427840 = 273511257
BaseRepresentation
bin10100101101001010000000
3101012202121010
4110231022000
52342142330
6312200520
764064415
oct24551200
911182533
105427840
113078020
121999140
131180752
14a1410c
157233b0
hex52d280

5427840 has 128 divisors (see below), whose sum is σ = 18947520. Its totient is φ = 1310720.

The previous prime is 5427833. The next prime is 5427857. The reversal of 5427840 is 487245.

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

It is a super-2 number, since 2×54278402 = 58922894131200, which contains 22 as substring.

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 = 5427798 and 5427807.

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, 20992 + ... + 21248.

Almost surely, 25427840 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 5427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9473760).

5427840 is an abundant number, since it is smaller than the sum of its proper divisors (13519680).

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

5427840 is a wasteful number, since it uses less digits than its factorization.

5427840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 5427840 is about 2329.7725210844. The cubic root of 5427840 is about 175.7420463585.

The spelling of 5427840 in words is "five million, four hundred twenty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 257 264 320 330 352 384 440 480 514 528 640 660 704 771 880 960 1028 1056 1285 1320 1408 1542 1760 1920 2056 2112 2570 2640 2827 3084 3520 3855 4112 4224 5140 5280 5654 6168 7040 7710 8224 8481 10280 10560 11308 12336 14135 15420 16448 16962 20560 21120 22616 24672 28270 30840 32896 33924 41120 42405 45232 49344 56540 61680 67848 82240 84810 90464 98688 113080 123360 135696 164480 169620 180928 226160 246720 271392 339240 361856 452320 493440 542784 678480 904640 1085568 1356960 1809280 2713920 5427840