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2280503640 = 2335413791223
BaseRepresentation
bin1000011111101101…
…1011100101011000
312212221011120212210
42013323123211120
514132302104030
61014143035120
7110340650442
oct20773334530
95787146783
102280503640
11a70315158
1253789baa0
132a460a04c
14178c35492
15d531ebb0
hex87edb958

2280503640 has 128 divisors (see below), whose sum is σ = 7032614400. Its totient is φ = 591252480.

The previous prime is 2280503597. The next prime is 2280503647. The reversal of 2280503640 is 463050822.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2280503598 and 2280503607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2280503647) 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, 1864069 + ... + 1865291.

It is an arithmetic number, because the mean of its divisors is an integer number (54942300).

Almost surely, 22280503640 is an apocalyptic number.

2280503640 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 2280503640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3516307200).

2280503640 is an abundant number, since it is smaller than the sum of its proper divisors (4752110760).

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

2280503640 is a wasteful number, since it uses less digits than its factorization.

2280503640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2280503640 is about 47754.6190436067. The cubic root of 2280503640 is about 1316.2657775057.

The spelling of 2280503640 in words is "two billion, two hundred eighty million, five hundred three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 379 410 492 615 758 820 984 1137 1223 1230 1516 1640 1895 2274 2446 2460 3032 3669 3790 4548 4892 4920 5685 6115 7338 7580 9096 9784 11370 12230 14676 15160 15539 18345 22740 24460 29352 31078 36690 45480 46617 48920 50143 62156 73380 77695 93234 100286 124312 146760 150429 155390 186468 200572 233085 250715 300858 310780 372936 401144 463517 466170 501430 601716 621560 752145 927034 932340 1002860 1203432 1390551 1504290 1854068 1864680 2005720 2317585 2781102 3008580 3708136 4635170 5562204 6017160 6952755 9270340 11124408 13905510 18540680 19004197 27811020 38008394 55622040 57012591 76016788 95020985 114025182 152033576 190041970 228050364 285062955 380083940 456100728 570125910 760167880 1140251820 2280503640