Search a number
-
+
5266132040 = 23513291372549
BaseRepresentation
bin1001110011110001…
…01100110001001000
3111121000011020002102
410321320230301020
541241112211130
62230315252532
7244333245431
oct47170546110
914530136072
105266132040
112262659a44
12102b74a148
1365c02bc80
1437d57a488
1520c4c5645
hex139e2cc48

5266132040 has 128 divisors (see below), whose sum is σ = 13301820000. Its totient is φ = 1862934528.

The previous prime is 5266132033. The next prime is 5266132043. The reversal of 5266132040 is 402316625.

It can be written as a sum of positive squares in 16 ways, for example, as 939912964 + 4326219076 = 30658^2 + 65774^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 5266131994 and 5266132012.

It is not an unprimeable number, because it can be changed into a prime (5266132043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2064686 + ... + 2067234.

It is the magic constant of a 2192 × 2192 magic square.

Almost surely, 25266132040 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 5266132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6650910000).

5266132040 is an abundant number, since it is smaller than the sum of its proper divisors (8035687960).

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

5266132040 is a wasteful number, since it uses less digits than its factorization.

5266132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 5266132040 is about 72568.1199976960. The cubic root of 5266132040 is about 1739.7916736537.

Adding to 5266132040 its reverse (402316625), we get a palindrome (5668448665).

The spelling of 5266132040 in words is "five billion, two hundred sixty-six million, one hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 137 145 232 260 274 290 377 520 548 580 685 754 1096 1160 1370 1508 1781 1885 2549 2740 3016 3562 3770 3973 5098 5480 7124 7540 7946 8905 10196 12745 14248 15080 15892 17810 19865 20392 25490 31784 33137 35620 39730 50980 51649 66274 71240 73921 79460 101960 103298 132548 147842 158920 165685 206596 258245 265096 295684 331370 349213 369605 413192 516490 591368 662740 698426 739210 960973 1032980 1325480 1396852 1478420 1746065 1921946 2065960 2793704 2956840 3492130 3843892 4539769 4804865 6984260 7687784 9079538 9609730 10127177 13968520 18159076 19219460 20254354 22698845 36318152 38438920 40508708 45397690 50635885 81017416 90795380 101271770 131653301 181590760 202543540 263306602 405087080 526613204 658266505 1053226408 1316533010 2633066020 5266132040