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5460060020 = 225192432409
BaseRepresentation
bin1010001010111000…
…11110011101110100
3112002112001210021012
411011130132131310
542140233410040
62301444011352
7252206513222
oct50534363564
915075053235
105460060020
1123520749a8
121084690b58
1369026b55c
1439b21bb12
1521e530865
hex14571e774

5460060020 has 108 divisors (see below), whose sum is σ = 12419632260. Its totient is φ = 2016016128.

The previous prime is 5460060019. The next prime is 5460060029. The reversal of 5460060020 is 200600645.

It can be written as a sum of positive squares in 2 ways, for example, as 3655169764 + 1804890256 = 60458^2 + 42484^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5460060029) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13349576 + ... + 13349984.

It is an arithmetic number, because the mean of its divisors is an integer number (114996595).

Almost surely, 25460060020 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 5460060020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6209816130).

5460060020 is an abundant number, since it is smaller than the sum of its proper divisors (6959572240).

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

5460060020 is a wasteful number, since it uses less digits than its factorization.

5460060020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 5460060020 is about 73892.2189408330. The cubic root of 5460060020 is about 1760.8909938510.

Adding to 5460060020 its reverse (200600645), we get a palindrome (5660660665).

The spelling of 5460060020 in words is "five billion, four hundred sixty million, sixty thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 43 76 86 95 172 190 215 361 380 409 430 722 817 818 860 1444 1634 1636 1805 1849 2045 3268 3610 3698 4085 4090 7220 7396 7771 8170 8180 9245 15523 15542 16340 17587 18490 31046 31084 35131 35174 36980 38855 62092 70262 70348 77615 77710 87935 140524 147649 155230 155420 175655 175870 295298 310460 334153 351310 351740 590596 667489 668306 702620 738245 756241 1334978 1336612 1476490 1512482 1670765 2669956 2952980 3024964 3337445 3341530 3781205 6348907 6674890 6683060 7562410 12697814 13349780 14368579 15124820 25395628 28737158 31744535 57474316 63489070 71842895 126978140 143685790 273003001 287371580 546006002 1092012004 1365015005 2730030010 5460060020