Search a number
-
+
1216045320 = 2335712711399
BaseRepresentation
bin100100001111011…
…0110000100001000
310010202012111120120
41020132312010020
54442301422240
6320400023240
742064133430
oct11036660410
93122174516
101216045320
11574475936
1229b301b20
13164c21859
14b77092c0
1571b59ad0
hex487b6108

1216045320 has 128 divisors (see below), whose sum is σ = 4202496000. Its totient is φ = 275740416.

The previous prime is 1216045307. The next prime is 1216045321. The reversal of 1216045320 is 235406121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1216045321) 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, 100981 + ... + 112379.

It is an arithmetic number, because the mean of its divisors is an integer number (32832000).

Almost surely, 21216045320 is an apocalyptic number.

1216045320 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 1216045320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101248000).

1216045320 is an abundant number, since it is smaller than the sum of its proper divisors (2986450680).

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

1216045320 is a wasteful number, since it uses less digits than its factorization.

1216045320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11547 (or 11543 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1216045320 is about 34871.8413623370. The cubic root of 1216045320 is about 1067.3739194077.

The spelling of 1216045320 in words is "one billion, two hundred sixteen million, forty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 127 140 168 210 254 280 381 420 508 635 762 840 889 1016 1270 1524 1778 1905 2540 2667 3048 3556 3810 4445 5080 5334 7112 7620 8890 10668 11399 13335 15240 17780 21336 22798 26670 34197 35560 45596 53340 56995 68394 79793 91192 106680 113990 136788 159586 170985 227980 239379 273576 319172 341970 398965 455960 478758 638344 683940 797930 957516 1196895 1367880 1447673 1595860 1915032 2393790 2895346 3191720 4343019 4787580 5790692 7238365 8686038 9575160 10133711 11581384 14476730 17372076 20267422 21715095 28953460 30401133 34744152 40534844 43430190 50668555 57906920 60802266 81069688 86860380 101337110 121604532 152005665 173720760 202674220 243209064 304011330 405348440 608022660 1216045320