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5623020 = 223551389
BaseRepresentation
bin10101011100110011101100
3101120200100000
4111130303230
52414414040
6320304300
765536434
oct25346354
911520300
105623020
1131a0727
121a72090
13121b540
14a652c4
15761130
hex55ccec

5623020 has 144 divisors (see below), whose sum is σ = 19262880. Its totient is φ = 1368576.

The previous prime is 5623003. The next prime is 5623021. The reversal of 5623020 is 203265.

It is a super-3 number, since 3×56230203 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5622984 and 5623002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5623021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63136 + ... + 63224.

It is an arithmetic number, because the mean of its divisors is an integer number (133770).

Almost surely, 25623020 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 5623020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9631440).

5623020 is an abundant number, since it is smaller than the sum of its proper divisors (13639860).

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

5623020 is a wasteful number, since it uses less digits than its factorization.

5623020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5623020 is about 2371.2907877357. The cubic root of 5623020 is about 177.8237956682.

Adding to 5623020 its reverse (203265), we get a palindrome (5826285).

The spelling of 5623020 in words is "five million, six hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 89 90 108 117 130 135 156 162 178 180 195 234 243 260 267 270 324 351 356 390 405 445 468 486 534 540 585 702 780 801 810 890 972 1053 1068 1157 1170 1215 1335 1404 1602 1620 1755 1780 2106 2314 2340 2403 2430 2670 3159 3204 3471 3510 4005 4212 4628 4806 4860 5265 5340 5785 6318 6942 7020 7209 8010 9612 10413 10530 11570 12015 12636 13884 14418 15795 16020 17355 20826 21060 21627 23140 24030 28836 31239 31590 34710 36045 41652 43254 48060 52065 62478 63180 69420 72090 86508 93717 104130 108135 124956 144180 156195 187434 208260 216270 281151 312390 374868 432540 468585 562302 624780 937170 1124604 1405755 1874340 2811510 5623020