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516001068 = 2232111776649
BaseRepresentation
bin11110110000011…
…000110100101100
31022221221120101200
4132300120310230
52024044013233
6123111405500
715533636202
oct3660306454
91287846350
10516001068
112452a6270
12124983890
1382b9829b
144c75d072
1530479313
hex1ec18d2c

516001068 has 72 divisors (see below), whose sum is σ = 1506632400. Its totient is φ = 147164160.

The previous prime is 516001063. The next prime is 516001093. The reversal of 516001068 is 860100615.

516001068 is a `hidden beast` number, since 51 + 600 + 1 + 0 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (516001063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31593 + ... + 45056.

It is an arithmetic number, because the mean of its divisors is an integer number (20925450).

Almost surely, 2516001068 is an apocalyptic number.

It is an amenable number.

516001068 is an abundant number, since it is smaller than the sum of its proper divisors (990631332).

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

516001068 is a wasteful number, since it uses less digits than its factorization.

516001068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76687 (or 76682 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 516001068 is about 22715.6568912281. The cubic root of 516001068 is about 802.0784847829.

It can be divided in two parts, 5160010 and 68, that added together give a triangular number (5160078 = T3212).

The spelling of 516001068 in words is "five hundred sixteen million, one thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3366 6732 76649 153298 229947 306596 459894 689841 843139 919788 1303033 1379682 1686278 2529417 2606066 2759364 3372556 3909099 5058834 5212132 7588251 7818198 10117668 11727297 14333363 15176502 15636396 23454594 28666726 30353004 43000089 46909188 57333452 86000178 129000267 172000356 258000534 516001068