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28515240 = 2334513677
BaseRepresentation
bin110110011000…
…1101110101000
31222122201120000
41230301232220
524244441430
62455103000
7464242545
oct154615650
958581500
1028515240
1115106a16
129671a60
135ba5230
143b03bcc
152783e60
hex1b31ba8

28515240 has 160 divisors (see below), whose sum is σ = 103367880. Its totient is φ = 7008768.

The previous prime is 28515217. The next prime is 28515247. The reversal of 28515240 is 4251582.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 25948836 + 2566404 = 5094^2 + 1602^2 .

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 (28515247) 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 39 ways as a sum of consecutive naturals, for example, 41782 + ... + 42458.

Almost surely, 228515240 is an apocalyptic number.

28515240 is a gapful number since it is divisible by the number (20) 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 28515240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51683940).

28515240 is an abundant number, since it is smaller than the sum of its proper divisors (74852640).

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

28515240 is a wasteful number, since it uses less digits than its factorization.

28515240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 28515240 is about 5339.9662920284. The cubic root of 28515240 is about 305.5101736580.

The spelling of 28515240 in words is "twenty-eight million, five hundred fifteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 585 648 677 702 780 810 936 1053 1080 1170 1354 1404 1560 1620 1755 2031 2106 2340 2708 2808 3240 3385 3510 4062 4212 4680 5265 5416 6093 6770 7020 8124 8424 8801 10155 10530 12186 13540 14040 16248 17602 18279 20310 21060 24372 26403 27080 30465 35204 36558 40620 42120 44005 48744 52806 54837 60930 70408 73116 79209 81240 88010 91395 105612 109674 121860 132015 146232 158418 176020 182790 211224 219348 237627 243720 264030 274185 316836 352040 365580 396045 438696 475254 528060 548370 633672 712881 731160 792090 950508 1056120 1096740 1188135 1425762 1584180 1901016 2193480 2376270 2851524 3168360 3564405 4752540 5703048 7128810 9505080 14257620 28515240