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5205130040 = 2351117695873
BaseRepresentation
bin1001101100011111…
…11111101100111000
3111102202101000002002
410312033333230320
541130003130130
62220300000132
7242662606145
oct46617775470
914382330062
105205130040
112231184270
121013230048
1364c4c0c06
1437541b3cc
15206e75b45
hex1363ffb38

5205130040 has 64 divisors (see below), whose sum is σ = 13527790560. Its totient is φ = 1781432320.

The previous prime is 5205129973. The next prime is 5205130079. The reversal of 5205130040 is 400315025.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 5205129994 and 5205130021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340457 + ... + 355416.

Almost surely, 25205130040 is an apocalyptic number.

It is an amenable number.

5205130040 is an abundant number, since it is smaller than the sum of its proper divisors (8322660520).

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

5205130040 is a wasteful number, since it uses less digits than its factorization.

5205130040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695912 (or 695908 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 5205130040 is about 72146.5871680705. The cubic root of 5205130040 is about 1733.0477466701.

Adding to 5205130040 its reverse (400315025), we get a palindrome (5605445065).

The spelling of 5205130040 in words is "five billion, two hundred five million, one hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 7480 695873 1391746 2783492 3479365 5566984 6958730 7654603 11829841 13917460 15309206 23659682 27834920 30618412 38273015 47319364 59149205 61236824 76546030 94638728 118298410 130128251 153092060 236596820 260256502 306184120 473193640 520513004 650641255 1041026008 1301282510 2602565020 5205130040