Search a number
-
+
5301715328 = 2774131327
BaseRepresentation
bin1001111000000000…
…11100000110000000
3111200111010001011222
410330000130012000
541324214342303
62234030054212
7245244560000
oct47400340600
914614101158
105301715328
112280753218
12103b64a368
1366650a380
143841a0000
152106a3938
hex13c01c180

5301715328 has 160 divisors (see below), whose sum is σ = 13279428960. Its totient is φ = 2095801344.

The previous prime is 5301715327. The next prime is 5301715357. The reversal of 5301715328 is 8235171035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5301715327) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3994601 + ... + 3995927.

It is an arithmetic number, because the mean of its divisors is an integer number (82996431).

Almost surely, 25301715328 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 5301715328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6639714480).

5301715328 is an abundant number, since it is smaller than the sum of its proper divisors (7977713632).

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

5301715328 is an equidigital number, since it uses as much as digits as its factorization.

5301715328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 5301715328 is about 72812.8788608169. The cubic root of 5301715328 is about 1743.7014751501.

The spelling of 5301715328 in words is "five billion, three hundred one million, seven hundred fifteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 343 364 392 416 448 637 686 728 784 832 896 1274 1327 1372 1456 1568 1664 2401 2548 2654 2744 2912 3136 4459 4802 5096 5308 5488 5824 6272 8918 9289 9604 10192 10616 10976 11648 17251 17836 18578 19208 20384 21232 21952 31213 34502 35672 37156 38416 40768 42464 43904 62426 65023 69004 71344 74312 76832 81536 84928 120757 124852 130046 138008 142688 148624 153664 169856 241514 249704 260092 276016 285376 297248 307328 455161 483028 499408 520184 552032 570752 594496 845299 910322 966056 998816 1040368 1104064 1188992 1690598 1820644 1932112 1997632 2080736 2208128 3186127 3381196 3641288 3864224 3995264 4161472 5917093 6372254 6762392 7282576 7728448 8322944 11834186 12744508 13524784 14565152 15456896 23668372 25489016 27049568 29130304 41419651 47336744 50978032 54099136 58260608 82839302 94673488 101956064 108198272 165678604 189346976 203912128 331357208 378693952 407824256 662714416 757387904 1325428832 2650857664 5301715328