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1383684540 = 2235722916229
BaseRepresentation
bin101001001111001…
…0101100110111100
310120102122110100120
41102132111212330
510313210401130
6345145054540
746201060500
oct12236254674
93512573316
101383684540
11650065747
12327487450
13190888464
14d1aa6300
1581720910
hex527959bc

1383684540 has 144 divisors (see below), whose sum is σ = 4662554400. Its totient is φ = 305346048.

The previous prime is 1383684521. The next prime is 1383684541. The reversal of 1383684540 is 454863831.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1383684492 and 1383684501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1383684541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77146 + ... + 93374.

It is an arithmetic number, because the mean of its divisors is an integer number (32378850).

Almost surely, 21383684540 is an apocalyptic number.

1383684540 is a gapful number since it is divisible by the number (10) 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 1383684540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331277200).

1383684540 is an abundant number, since it is smaller than the sum of its proper divisors (3278869860).

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

1383684540 is a wasteful number, since it uses less digits than its factorization.

1383684540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16284 (or 16275 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 1383684540 is about 37197.9104251838. The cubic root of 1383684540 is about 1114.3262541370.

The spelling of 1383684540 in words is "one billion, three hundred eighty-three million, six hundred eighty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 29 30 35 42 49 58 60 70 84 87 98 105 116 140 145 147 174 196 203 210 245 290 294 348 406 420 435 490 580 588 609 735 812 870 980 1015 1218 1421 1470 1740 2030 2436 2842 2940 3045 4060 4263 5684 6090 7105 8526 12180 14210 16229 17052 21315 28420 32458 42630 48687 64916 81145 85260 97374 113603 162290 194748 227206 243435 324580 340809 454412 470641 486870 568015 681618 795221 941282 973740 1136030 1363236 1411923 1590442 1704045 1882564 2272060 2353205 2385663 2823846 3180884 3294487 3408090 3976105 4706410 4771326 5647692 6588974 6816180 7059615 7952210 9412820 9542652 9883461 11928315 13177948 14119230 15904420 16472435 19766922 23061409 23856630 28238460 32944870 39533844 46122818 47713260 49417305 65889740 69184227 92245636 98834610 115307045 138368454 197669220 230614090 276736908 345921135 461228180 691842270 1383684540