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1531800036 = 2232136153657
BaseRepresentation
bin101101101001101…
…0110100111100100
310221202100111121200
41123103112213210
511114120100121
6411555442500
752650041214
oct13323264744
93852314550
101531800036
11716730048
12368bb6430
131b5477670
14107620244
158e72ba26
hex5b4d69e4

1531800036 has 72 divisors (see below), whose sum is σ = 4238338104. Its totient is φ = 463587840.

The previous prime is 1531800031. The next prime is 1531800059. The reversal of 1531800036 is 6300081351.

It can be written as a sum of positive squares in 4 ways, for example, as 1425636 + 1530374400 = 1194^2 + 39120^2 .

It is a super-2 number, since 2×15318000362 = 4692822700579202592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1531799982 and 1531800009.

It is not an unprimeable number, because it can be changed into a prime (1531800031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1720 + ... + 55376.

It is an arithmetic number, because the mean of its divisors is an integer number (58865807).

Almost surely, 21531800036 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 1531800036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119169052).

1531800036 is an abundant number, since it is smaller than the sum of its proper divisors (2706538068).

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

1531800036 is a wasteful number, since it uses less digits than its factorization.

1531800036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53741 (or 53736 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1531800036 is about 39138.2170774296. The cubic root of 1531800036 is about 1152.7470649797.

Adding to 1531800036 its reverse (6300081351), we get a palindrome (7831881387).

The spelling of 1531800036 in words is "one billion, five hundred thirty-one million, eight hundred thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 61 78 117 122 156 183 234 244 366 468 549 732 793 1098 1586 2196 2379 3172 4758 7137 9516 14274 28548 53657 107314 160971 214628 321942 482913 643884 697541 965826 1395082 1931652 2092623 2790164 3273077 4185246 6277869 6546154 8370492 9819231 12555738 13092308 19638462 25111476 29457693 39276924 42550001 58915386 85100002 117830772 127650003 170200004 255300006 382950009 510600012 765900018 1531800036