Search a number
-
+
1360030848 = 273112313999
BaseRepresentation
bin101000100010000…
…0110110010000000
310111210010201120220
41101010012302000
510241131441343
6342542103040
745463033341
oct12104066200
93453121526
101360030848
1163877a340
1231b57aa80
131889c5ca7
14cc8aa0c8
157e5ec183
hex51106c80

1360030848 has 128 divisors (see below), whose sum is σ = 4112640000. Its totient is φ = 394183680.

The previous prime is 1360030829. The next prime is 1360030897. The reversal of 1360030848 is 8480300631.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90153 + ... + 104151.

It is an arithmetic number, because the mean of its divisors is an integer number (32130000).

Almost surely, 21360030848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1360030848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056320000).

1360030848 is an abundant number, since it is smaller than the sum of its proper divisors (2752609152).

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

1360030848 is a wasteful number, since it uses less digits than its factorization.

1360030848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14050 (or 14038 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 1360030848 is about 36878.5960687226. The cubic root of 1360030848 is about 1107.9400281198.

The spelling of 1360030848 in words is "one billion, three hundred sixty million, thirty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 128 132 138 176 184 192 253 264 276 352 368 384 506 528 552 704 736 759 1012 1056 1104 1408 1472 1518 2024 2112 2208 2944 3036 4048 4224 4416 6072 8096 8832 12144 13999 16192 24288 27998 32384 41997 48576 55996 83994 97152 111992 153989 167988 223984 307978 321977 335976 447968 461967 615956 643954 671952 895936 923934 965931 1231912 1287908 1343904 1791872 1847868 1931862 2463824 2575816 2687808 3541747 3695736 3863724 4927648 5151632 5375616 7083494 7391472 7727448 9855296 10303264 10625241 14166988 14782944 15454896 19710592 20606528 21250482 28333976 29565888 30909792 41213056 42500964 56667952 59131776 61819584 85001928 113335904 123639168 170003856 226671808 340007712 453343616 680015424 1360030848