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1516031340 = 223537897673
BaseRepresentation
bin101101001011100…
…1100110101101100
310220122200101000220
41122113030311230
511101101000330
6410233451340
752366024305
oct13227146554
93818611026
101516031340
1170883a86a
12363870b50
131b2116185
141054b77ac
158d164710
hex5a5ccd6c

1516031340 has 96 divisors (see below), whose sum is σ = 4409173440. Its totient is φ = 388878336.

The previous prime is 1516031339. The next prime is 1516031357. The reversal of 1516031340 is 431306151.

It is a self number, because there is not a number n which added to its sum of digits gives 1516031340.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 193744 + ... + 201416.

It is an arithmetic number, because the mean of its divisors is an integer number (45928890).

Almost surely, 21516031340 is an apocalyptic number.

1516031340 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 1516031340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204586720).

1516031340 is an abundant number, since it is smaller than the sum of its proper divisors (2893142100).

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

1516031340 is a wasteful number, since it uses less digits than its factorization.

1516031340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7811 (or 7809 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1516031340 is about 38936.2471227005. The cubic root of 1516031340 is about 1148.7778673919. Note that the first 3 decimals are identical.

Adding to 1516031340 its reverse (431306151), we get a palindrome (1947337491).

The spelling of 1516031340 in words is "one billion, five hundred sixteen million, thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 89 111 148 178 185 222 267 356 370 444 445 534 555 740 890 1068 1110 1335 1780 2220 2670 3293 5340 6586 7673 9879 13172 15346 16465 19758 23019 30692 32930 38365 39516 46038 49395 65860 76730 92076 98790 115095 153460 197580 230190 283901 460380 567802 682897 851703 1135604 1365794 1419505 1703406 2048691 2731588 2839010 3406812 3414485 4097382 4258515 5678020 6828970 8194764 8517030 10243455 13657940 17034060 20486910 25267189 40973820 50534378 75801567 101068756 126335945 151603134 252671890 303206268 379007835 505343780 758015670 1516031340