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1380610224 = 243371924029
BaseRepresentation
bin101001001001010…
…0111000010110000
310120012212021012000
41102102213002300
510311414011344
6344555134000
746132664460
oct12222470260
93505767160
101380610224
11649355994
12326444300
13190050036
14d1505ba0
1581314a69
hex524a70b0

1380610224 has 160 divisors (see below), whose sum is σ = 4767552000. Its totient is φ = 373683456.

The previous prime is 1380610223. The next prime is 1380610333. The reversal of 1380610224 is 4220160831.

1380610224 is a `hidden beast` number, since 1 + 380 + 61 + 0 + 224 = 666.

It is a super-2 number, since 2×13806102242 = 3812169181226660352, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1380610223) 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, 45442 + ... + 69470.

It is an arithmetic number, because the mean of its divisors is an integer number (29797200).

Almost surely, 21380610224 is an apocalyptic number.

1380610224 is a gapful number since it is divisible by the number (14) 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 1380610224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383776000).

1380610224 is an abundant number, since it is smaller than the sum of its proper divisors (3386941776).

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

1380610224 is a wasteful number, since it uses less digits than its factorization.

1380610224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24072 (or 24060 counting only the distinct ones).

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

The square root of 1380610224 is about 37156.5636731924. The cubic root of 1380610224 is about 1113.5003598795.

The spelling of 1380610224 in words is "one billion, three hundred eighty million, six hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 36 38 42 48 54 56 57 63 72 76 84 108 112 114 126 133 144 152 168 171 189 216 228 252 266 304 336 342 378 399 432 456 504 513 532 684 756 798 912 1008 1026 1064 1197 1368 1512 1596 2052 2128 2394 2736 3024 3192 3591 4104 4788 6384 7182 8208 9576 14364 19152 24029 28728 48058 57456 72087 96116 144174 168203 192232 216261 288348 336406 384464 432522 456551 504609 576696 648783 672812 865044 913102 1009218 1153392 1297566 1345624 1369653 1513827 1730088 1826204 2018436 2595132 2691248 2739306 3027654 3195857 3460176 3652408 4036872 4108959 4541481 5190264 5478612 6055308 6391714 7304816 8073744 8217918 9082962 9587571 10380528 10957224 12110616 12326877 12783428 16435836 18165924 19175142 21914448 24221232 24653754 25566856 28762713 32871672 36331848 38350284 49307508 51133712 57525426 65743344 72663696 76700568 86288139 98615016 115050852 153401136 172576278 197230032 230101704 345152556 460203408 690305112 1380610224