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514246680 = 233251499587
BaseRepresentation
bin11110101001101…
…100100000011000
31022211122102211100
4132221230200120
52023121343210
6123010031400
715513011313
oct3651544030
91284572740
10514246680
11244308162
12124278560
138270289c
144c42397a
153022e5c0
hex1ea6c818

514246680 has 96 divisors (see below), whose sum is σ = 1682694000. Its totient is φ = 136197888.

The previous prime is 514246679. The next prime is 514246709. The reversal of 514246680 is 86642415.

514246680 is a `hidden beast` number, since 514 + 2 + 4 + 66 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 48847 + ... + 58433.

Almost surely, 2514246680 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 514246680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841347000).

514246680 is an abundant number, since it is smaller than the sum of its proper divisors (1168447320).

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

514246680 is a wasteful number, since it uses less digits than its factorization.

514246680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9753 (or 9746 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 514246680 is about 22677.0077391176. The cubic root of 514246680 is about 801.1684384420.

The spelling of 514246680 in words is "five hundred fourteen million, two hundred forty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 149 180 298 360 447 596 745 894 1192 1341 1490 1788 2235 2682 2980 3576 4470 5364 5960 6705 8940 9587 10728 13410 17880 19174 26820 28761 38348 47935 53640 57522 76696 86283 95870 115044 143805 172566 191740 230088 287610 345132 383480 431415 575220 690264 862830 1150440 1428463 1725660 2856926 3451320 4285389 5713852 7142315 8570778 11427704 12856167 14284630 17141556 21426945 25712334 28569260 34283112 42853890 51424668 57138520 64280835 85707780 102849336 128561670 171415560 257123340 514246680