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531118116 = 22322321672
BaseRepresentation
bin11111101010000…
…011100000100100
31101000101121002100
4133222003200210
52041431234431
6124411412100
716106300214
oct3752034044
91330347070
10531118116
112528909a1
12129a54030
138605bc99
1450776244
15319634e6
hex1fa83824

531118116 has 81 divisors (see below), whose sum is σ = 1411912411. Its totient is φ = 168327984.

The previous prime is 531118111. The next prime is 531118117. The reversal of 531118116 is 611811135.

It is a happy number.

The square root of 531118116 is 23046.

It is a perfect power (a square), and thus also a powerful number.

531118116 is a `hidden beast` number, since 531 + 1 + 18 + 116 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 531118116.

It is not an unprimeable number, because it can be changed into a prime (531118111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3180265 + ... + 3180431.

Almost surely, 2531118116 is an apocalyptic number.

531118116 is the 23046-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531118116

531118116 is an abundant number, since it is smaller than the sum of its proper divisors (880794295).

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

531118116 is a wasteful number, since it uses less digits than its factorization.

531118116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 195 counting only the distinct ones).

The product of its digits is 720, while the sum is 27.

The cubic root of 531118116 is about 809.8359247000.

The spelling of 531118116 in words is "five hundred thirty-one million, one hundred eighteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 167 207 276 334 414 501 529 668 828 1002 1058 1503 1587 2004 2116 3006 3174 3841 4761 6012 6348 7682 9522 11523 15364 19044 23046 27889 34569 46092 55778 69138 83667 88343 111556 138276 167334 176686 251001 265029 334668 353372 502002 530058 641447 795087 1004004 1060116 1282894 1590174 1924341 2565788 3180348 3848682 5773023 7697364 11546046 14753281 23092092 29506562 44259843 59013124 88519686 132779529 177039372 265559058 531118116