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1380927744 = 2833728541
BaseRepresentation
bin101001001001111…
…0100100100000000
310120020110101202000
41102103310210000
510312004141434
6345010024000
746135456260
oct12223644400
93506411660
101380927744
116495524a9
12326578000
13190131711
14d15897a0
1581378b99
hex524f4900

1380927744 has 144 divisors (see below), whose sum is σ = 4667187840. Its totient is φ = 394536960.

The previous prime is 1380927721. The next prime is 1380927749. The reversal of 1380927744 is 4477290831.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×13809277442 = 3813922868297859072, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1380927744.

It is not an unprimeable number, because it can be changed into a prime (1380927749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34114 + ... + 62654.

Almost surely, 21380927744 is an apocalyptic number.

1380927744 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 1380927744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333593920).

1380927744 is an abundant number, since it is smaller than the sum of its proper divisors (3286260096).

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

1380927744 is an equidigital number, since it uses as much as digits as its factorization.

1380927744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28573 (or 28553 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 1380927744 is about 37160.8361585151. The cubic root of 1380927744 is about 1113.5857162258.

The spelling of 1380927744 in words is "one billion, three hundred eighty million, nine hundred twenty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 28541 48384 57082 85623 114164 171246 199787 228328 256869 342492 399574 456656 513738 599361 684984 770607 799148 913312 1027476 1198722 1369968 1541214 1598296 1798083 1826624 2054952 2397444 2739936 3082428 3196592 3596166 3653248 4109904 4794888 5394249 5479872 6164856 6393184 7192332 7306496 8219808 9589776 10788498 10959744 12329712 12786368 14384664 16439616 19179552 21576996 21919488 24659424 25572736 28769328 32879232 38359104 43153992 49318848 51145472 57538656 65758464 76718208 86307984 98637696 115077312 153436416 172615968 197275392 230154624 345231936 460309248 690463872 1380927744