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5417820 = 2233579127
BaseRepresentation
bin10100101010101101011100
3101012020212000
4110222231130
52341332240
6312042300
764023252
oct24525534
911166760
105417820
113070541
121993390
131179015
14a105d2
15720430
hex52ab5c

5417820 has 96 divisors (see below), whose sum is σ = 17203200. Its totient is φ = 1415232.

The previous prime is 5417807. The next prime is 5417827. The reversal of 5417820 is 287145.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5417827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42597 + ... + 42723.

It is an arithmetic number, because the mean of its divisors is an integer number (179200).

Almost surely, 25417820 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 5417820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8601600).

5417820 is an abundant number, since it is smaller than the sum of its proper divisors (11785380).

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

5417820 is a wasteful number, since it uses less digits than its factorization.

5417820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 216 counting only the distinct ones).

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

The square root of 5417820 is about 2327.6211031867. The cubic root of 5417820 is about 175.6338375681.

The spelling of 5417820 in words is "five million, four hundred seventeen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 79 90 108 127 135 158 180 237 254 270 316 381 395 474 508 540 635 711 762 790 948 1143 1185 1270 1422 1524 1580 1905 2133 2286 2370 2540 2844 3429 3555 3810 4266 4572 4740 5715 6858 7110 7620 8532 10033 10665 11430 13716 14220 17145 20066 21330 22860 30099 34290 40132 42660 50165 60198 68580 90297 100330 120396 150495 180594 200660 270891 300990 361188 451485 541782 601980 902970 1083564 1354455 1805940 2708910 5417820