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28213380 = 22335134019
BaseRepresentation
bin110101110100…
…0000010000100
31222002101111000
41223220002010
524210312010
62444413300
7461544516
oct153500204
958071430
1028213380
1114a20148
129547230
135acaa10
143a65bb6
1527247c0
hex1ae8084

28213380 has 96 divisors (see below), whose sum is σ = 94550400. Its totient is φ = 6943104.

The previous prime is 28213373. The next prime is 28213391. The reversal of 28213380 is 8331282.

28213380 is a `hidden beast` number, since 282 + 1 + 3 + 380 = 666.

It is a super-2 number, since 2×282133802 = 1591989622048800, which contains 22 as substring.

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

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, 5011 + ... + 9029.

It is an arithmetic number, because the mean of its divisors is an integer number (984900).

Almost surely, 228213380 is an apocalyptic number.

28213380 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 28213380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47275200).

28213380 is an abundant number, since it is smaller than the sum of its proper divisors (66337020).

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

28213380 is a wasteful number, since it uses less digits than its factorization.

28213380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4050 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 28213380 is about 5311.6268694252. The cubic root of 28213380 is about 304.4283118870.

The spelling of 28213380 in words is "twenty-eight million, two hundred thirteen thousand, three hundred eighty".

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 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 4019 7020 8038 12057 16076 20095 24114 36171 40190 48228 52247 60285 72342 80380 104494 108513 120570 144684 156741 180855 208988 217026 241140 261235 313482 361710 434052 470223 522470 542565 626964 723420 783705 940446 1044940 1085130 1410669 1567410 1880892 2170260 2351115 2821338 3134820 4702230 5642676 7053345 9404460 14106690 28213380