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516030264 = 23344119423
BaseRepresentation
bin11110110000011…
…111111100111000
31022222000001110000
4132300133330320
52024100432024
6123112153000
715534120261
oct3660377470
91288001400
10516030264
112453161a2
12124998760
1382ba8669
144c769968
1530482cc9
hex1ec1ff38

516030264 has 80 divisors (see below), whose sum is σ = 1480691520. Its totient is φ = 167806080.

The previous prime is 516030241. The next prime is 516030287. The reversal of 516030264 is 462030615.

516030264 is a `hidden beast` number, since 51 + 603 + 0 + 2 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (516030241) and next prime (516030287).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16857 + ... + 36279.

It is an arithmetic number, because the mean of its divisors is an integer number (18508644).

Almost surely, 2516030264 is an apocalyptic number.

516030264 is a gapful number since it is divisible by the number (54) 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 516030264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740345760).

516030264 is an abundant number, since it is smaller than the sum of its proper divisors (964661256).

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

516030264 is a wasteful number, since it uses less digits than its factorization.

516030264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19482 (or 19469 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 516030264 is about 22716.2995225895. The cubic root of 516030264 is about 802.0936120396.

Adding to 516030264 its reverse (462030615), we get a palindrome (978060879).

The spelling of 516030264 in words is "five hundred sixteen million, thirty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 162 164 216 246 324 328 369 492 648 738 984 1107 1476 2214 2952 3321 4428 6642 8856 13284 19423 26568 38846 58269 77692 116538 155384 174807 233076 349614 466152 524421 699228 796343 1048842 1398456 1573263 1592686 2097684 2389029 3146526 3185372 4195368 4778058 6293052 6370744 7167087 9556116 12586104 14334174 19112232 21501261 28668348 43002522 57336696 64503783 86005044 129007566 172010088 258015132 516030264