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18428040 = 23335113151
BaseRepresentation
bin100011001001…
…1000010001000
31021200020112000
41012103002020
514204144130
61454551000
7312431031
oct106230210
937606460
1018428040
11a447294
126208460
133a82a87
142639a88
151940260
hex1193088

18428040 has 128 divisors (see below), whose sum is σ = 62380800. Its totient is φ = 4838400.

The previous prime is 18428009. The next prime is 18428057. The reversal of 18428040 is 4082481.

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

It is a junction number, because it is equal to n+sod(n) for n = 18427995 and 18428013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121965 + ... + 122115.

It is an arithmetic number, because the mean of its divisors is an integer number (487350).

Almost surely, 218428040 is an apocalyptic number.

18428040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18428040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31190400).

18428040 is an abundant number, since it is smaller than the sum of its proper divisors (43952760).

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

18428040 is a wasteful number, since it uses less digits than its factorization.

18428040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 18428040 is about 4292.7893030057. The cubic root of 18428040 is about 264.1352612651.

It can be divided in two parts, 184 and 28040, that added together give a square (28224 = 1682).

The spelling of 18428040 in words is "eighteen million, four hundred twenty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 113 120 135 151 180 216 226 270 302 339 360 452 453 540 565 604 678 755 904 906 1017 1080 1130 1208 1356 1359 1510 1695 1812 2034 2260 2265 2712 2718 3020 3051 3390 3624 4068 4077 4520 4530 5085 5436 6040 6102 6780 6795 8136 8154 9060 10170 10872 12204 13560 13590 15255 16308 17063 18120 20340 20385 24408 27180 30510 32616 34126 40680 40770 51189 54360 61020 68252 81540 85315 102378 122040 136504 153567 163080 170630 204756 255945 307134 341260 409512 460701 511890 614268 682520 767835 921402 1023780 1228536 1535670 1842804 2047560 2303505 3071340 3685608 4607010 6142680 9214020 18428040