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10060400520 = 23325229122033
BaseRepresentation
bin10010101111010010…
…11000011110001000
3221222010102022001200
421113221120132020
5131100430304040
64342141144200
7504206664522
oct112751303610
927863368050
1010060400520
1142a29198a5
121b4925b060
13c44377821
146b61a6a12
153dd33e630
hex257a58788

10060400520 has 96 divisors (see below), whose sum is σ = 32839349400. Its totient is φ = 2671036416.

The previous prime is 10060400503. The next prime is 10060400551. The reversal of 10060400520 is 2500406001.

It is a happy number.

10060400520 is a `hidden beast` number, since 10 + 0 + 604 + 0 + 0 + 52 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10000400004 + 60000516 = 100002^2 + 7746^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10060400493 and 10060400502.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21424 + ... + 143456.

Almost surely, 210060400520 is an apocalyptic number.

10060400520 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 10060400520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16419674700).

10060400520 is an abundant number, since it is smaller than the sum of its proper divisors (22778948880).

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

10060400520 is a wasteful number, since it uses less digits than its factorization.

10060400520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122279 (or 122272 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 10060400520 its reverse (2500406001), we get a palindrome (12560806521).

The spelling of 10060400520 in words is "ten billion, sixty million, four hundred thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 229 360 458 687 916 1145 1374 1832 2061 2290 2748 3435 4122 4580 5496 6870 8244 9160 10305 13740 16488 20610 27480 41220 82440 122033 244066 366099 488132 610165 732198 976264 1098297 1220330 1464396 1830495 2196594 2440660 2928792 3660990 4393188 4881320 5491485 7321980 8786376 10982970 14643960 21965940 27945557 43931880 55891114 83836671 111782228 139727785 167673342 223564456 251510013 279455570 335346684 419183355 503020026 558911140 670693368 838366710 1006040052 1117822280 1257550065 1676733420 2012080104 2515100130 3353466840 5030200260 10060400520