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20505103240 = 2351924633067
BaseRepresentation
bin10011000110001100…
…110000101110001000
31221221000222011122011
4103012030300232020
5313443301300430
613230411305304
71324064334046
oct230614605610
957830864564
1020505103240
118772661616
123b8314b234
131c1a2287ab
14dc7409396
1580029122a
hex4c6330b88

20505103240 has 96 divisors (see below), whose sum is σ = 48813598080. Its totient is φ = 7751044224.

The previous prime is 20505103219. The next prime is 20505103243. The reversal of 20505103240 is 4230150502.

It is not an unprimeable number, because it can be changed into a prime (20505103243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6684187 + ... + 6687253.

It is an arithmetic number, because the mean of its divisors is an integer number (508474980).

Almost surely, 220505103240 is an apocalyptic number.

20505103240 is a gapful number since it is divisible by the number (20) 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 20505103240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24406799040).

20505103240 is an abundant number, since it is smaller than the sum of its proper divisors (28308494840).

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

20505103240 is a wasteful number, since it uses less digits than its factorization.

20505103240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3579 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

Adding to 20505103240 its reverse (4230150502), we get a palindrome (24735253742).

The spelling of 20505103240 in words is "twenty billion, five hundred five million, one hundred three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 361 380 463 722 760 926 1444 1805 1852 2315 2888 3067 3610 3704 4630 6134 7220 8797 9260 12268 14440 15335 17594 18520 24536 30670 35188 43985 58273 61340 70376 87970 116546 122680 167143 175940 233092 291365 334286 351880 466184 582730 668572 835715 1107187 1165460 1337144 1420021 1671430 2214374 2330920 2840042 3342860 4428748 5535935 5680084 6685720 7100105 8857496 11071870 11360168 14200210 22143740 26980399 28400420 44287480 53960798 56800840 107921596 134901995 215843192 269803990 512627581 539607980 1025255162 1079215960 2050510324 2563137905 4101020648 5126275810 10252551620 20505103240