Search a number
-
+
1316505780 = 2232567173631
BaseRepresentation
bin100111001111000…
…0100100010110100
310101202020102102100
41032132010202310
510144011141110
6334345142100
744424054162
oct11636044264
93352212370
101316505780
11616151307
12308a8a930
1317c996b05
14c6bba232
157a8a0bc0
hex4e7848b4

1316505780 has 144 divisors (see below), whose sum is σ = 4082891904. Its totient is φ = 343284480.

The previous prime is 1316505761. The next prime is 1316505781. The reversal of 1316505780 is 875056131.

1316505780 is a `hidden beast` number, since 1 + 31 + 6 + 50 + 578 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1316505781) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2086065 + ... + 2086695.

It is an arithmetic number, because the mean of its divisors is an integer number (28353416).

Almost surely, 21316505780 is an apocalyptic number.

1316505780 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 1316505780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041445952).

1316505780 is an abundant number, since it is smaller than the sum of its proper divisors (2766386124).

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

1316505780 is a wasteful number, since it uses less digits than its factorization.

1316505780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 1316505780 is about 36283.6847632652. The cubic root of 1316505780 is about 1095.9925197511.

The spelling of 1316505780 in words is "one billion, three hundred sixteen million, five hundred five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 173 180 201 268 335 346 402 519 603 631 670 692 804 865 1005 1038 1206 1262 1340 1557 1730 1893 2010 2076 2412 2524 2595 3015 3114 3155 3460 3786 4020 5190 5679 6030 6228 6310 7572 7785 9465 10380 11358 11591 12060 12620 15570 18930 22716 23182 28395 31140 34773 37860 42277 46364 56790 57955 69546 84554 104319 109163 113580 115910 126831 139092 169108 173865 208638 211385 218326 231820 253662 327489 347730 380493 417276 422770 436652 507324 521595 545815 634155 654978 695460 760986 845540 982467 1043190 1091630 1268310 1309956 1521972 1637445 1902465 1964934 2086380 2183260 2536620 3274890 3804930 3929868 4912335 6549780 7313921 7609860 9824670 14627842 19649340 21941763 29255684 36569605 43883526 65825289 73139210 87767052 109708815 131650578 146278420 219417630 263301156 329126445 438835260 658252890 1316505780