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5426820 = 2232575973
BaseRepresentation
bin10100101100111010000100
3101012201012100
4110230322010
52342124240
6312152100
764061430
oct24547204
911181170
105426820
113077283
121998630
131180149
14a139c0
15722e30
hex52ce84

5426820 has 144 divisors (see below), whose sum is σ = 19393920. Its totient is φ = 1202688.

The previous prime is 5426819. The next prime is 5426843. The reversal of 5426820 is 286245.

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, 74304 + ... + 74376.

It is an arithmetic number, because the mean of its divisors is an integer number (134680).

Almost surely, 25426820 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 5426820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9696960).

5426820 is an abundant number, since it is smaller than the sum of its proper divisors (13967100).

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

5426820 is a wasteful number, since it uses less digits than its factorization.

5426820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5426820 is about 2329.5536053072. The cubic root of 5426820 is about 175.7310371837.

The spelling of 5426820 in words is "five million, four hundred twenty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 59 60 63 70 73 84 90 105 118 126 140 146 177 180 210 219 236 252 292 295 315 354 365 413 420 438 511 531 590 630 657 708 730 826 876 885 1022 1062 1095 1180 1239 1260 1314 1460 1533 1652 1770 2044 2065 2124 2190 2478 2555 2628 2655 3066 3285 3540 3717 4130 4307 4380 4599 4956 5110 5310 6132 6195 6570 7434 7665 8260 8614 9198 10220 10620 12390 12921 13140 14868 15330 17228 18396 18585 21535 22995 24780 25842 30149 30660 37170 38763 43070 45990 51684 60298 64605 74340 77526 86140 90447 91980 120596 129210 150745 155052 180894 193815 258420 271341 301490 361788 387630 452235 542682 602980 775260 904470 1085364 1356705 1808940 2713410 5426820