Search a number
-
+
5307085056 = 28371375937
BaseRepresentation
bin1001111000101001…
…11011000100000000
3111200212012212001210
410330110323010000
541332103210211
62234341130120
7245341323120
oct47424730400
914625185053
105307085056
112283790609
1210413b9940
1366766a520
14384b9ac80
15210db49a6
hex13c53b100

5307085056 has 144 divisors (see below), whose sum is σ = 17384334464. Its totient is φ = 1399652352.

The previous prime is 5307085051. The next prime is 5307085117. The reversal of 5307085056 is 6505807035.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (5307085051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31920 + ... + 107856.

Almost surely, 25307085056 is an apocalyptic number.

5307085056 is a gapful number since it is divisible by the number (56) 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 5307085056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8692167232).

5307085056 is an abundant number, since it is smaller than the sum of its proper divisors (12077249408).

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

5307085056 is a wasteful number, since it uses less digits than its factorization.

5307085056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75976 (or 75962 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 5307085056 is about 72849.7430057238. The cubic root of 5307085056 is about 1744.2899666556.

The spelling of 5307085056 in words is "five billion, three hundred seven million, eighty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 546 624 672 728 768 832 896 1092 1248 1344 1456 1664 1792 2184 2496 2688 2912 3328 4368 4992 5376 5824 8736 9984 11648 17472 23296 34944 69888 75937 151874 227811 303748 455622 531559 607496 911244 987181 1063118 1214992 1594677 1822488 1974362 2126236 2429984 2961543 3189354 3644976 3948724 4252472 4859968 5923086 6378708 6910267 7289952 7897448 8504944 9719936 11846172 12757416 13820534 14579904 15794896 17009888 19439872 20730801 23692344 25514832 27641068 29159808 31589792 34019776 41461602 47384688 51029664 55282136 58319616 63179584 68039552 82923204 94769376 102059328 110564272 126359168 136079104 165846408 189538752 204118656 221128544 252718336 331692816 379077504 408237312 442257088 663385632 758155008 884514176 1326771264 1769028352 2653542528 5307085056