Search a number
-
+
16215413240 = 23513251283439
BaseRepresentation
bin11110001101000001…
…11001000111111000
31112212002011100012202
433012200321013320
5231202121210430
611241012325332
71112555511155
oct170640710770
945762140182
1016215413240
1169711a5a74
123186613848
1316b55a8ca0
14adb80722c
1564d896d45
hex3c68391f8

16215413240 has 128 divisors (see below), whose sum is σ = 39677299200. Its totient is φ = 5928768000.

The previous prime is 16215413239. The next prime is 16215413243. The reversal of 16215413240 is 4231451261.

16215413240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16215413243) 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 31 ways as a sum of consecutive naturals, for example, 36936941 + ... + 36937379.

It is an arithmetic number, because the mean of its divisors is an integer number (309978900).

Almost surely, 216215413240 is an apocalyptic number.

16215413240 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 16215413240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19838649600).

16215413240 is an abundant number, since it is smaller than the sum of its proper divisors (23461885960).

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

16215413240 is a wasteful number, since it uses less digits than its factorization.

16215413240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 16215413240 in words is "sixteen billion, two hundred fifteen million, four hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 251 260 283 439 502 520 566 878 1004 1132 1255 1415 1756 2008 2195 2264 2510 2830 3263 3512 3679 4390 5020 5660 5707 6526 7358 8780 10040 11320 11414 13052 14716 16315 17560 18395 22828 26104 28535 29432 32630 36790 45656 57070 65260 71033 73580 110189 114140 124237 130520 142066 147160 220378 228280 248474 284132 355165 440756 496948 550945 568264 621185 710330 881512 923429 993896 1101890 1242370 1420660 1432457 1615081 1846858 2203780 2484740 2841320 2864914 3230162 3693716 4407560 4617145 4969480 5729828 6460324 7162285 7387432 8075405 9234290 11459656 12920648 14324570 16150810 18468580 28649140 31183487 32301620 36937160 57298280 62366974 64603240 124733948 155917435 249467896 311834870 405385331 623669740 810770662 1247339480 1621541324 2026926655 3243082648 4053853310 8107706620 16215413240