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514087080 = 2335131572099
BaseRepresentation
bin11110101001000…
…101100010101000
31022211100022220020
4132221011202220
52023101241310
6123002400440
715511445103
oct3651054250
91284308806
10514087080
11244209261
12124200120
1382678050
144c3c173a
15301ec170
hex1ea458a8

514087080 has 128 divisors (see below), whose sum is σ = 1672272000. Its totient is φ = 125678592.

The previous prime is 514087061. The next prime is 514087103. The reversal of 514087080 is 80780415.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 243871 + ... + 245969.

It is an arithmetic number, because the mean of its divisors is an integer number (13064625).

Almost surely, 2514087080 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 514087080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836136000).

514087080 is an abundant number, since it is smaller than the sum of its proper divisors (1158184920).

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

514087080 is a wasteful number, since it uses less digits than its factorization.

514087080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 514087080 is about 22673.4884832484. The cubic root of 514087080 is about 801.0855471513.

The spelling of 514087080 in words is "five hundred fourteen million, eighty-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 157 195 260 312 314 390 471 520 628 780 785 942 1256 1560 1570 1884 2041 2099 2355 3140 3768 4082 4198 4710 6123 6280 6297 8164 8396 9420 10205 10495 12246 12594 16328 16792 18840 20410 20990 24492 25188 27287 30615 31485 40820 41980 48984 50376 54574 61230 62970 81640 81861 83960 109148 122460 125940 136435 163722 218296 244920 251880 272870 327444 329543 409305 545740 654888 659086 818610 988629 1091480 1318172 1637220 1647715 1977258 2636344 3274440 3295430 3954516 4284059 4943145 6590860 7909032 8568118 9886290 12852177 13181720 17136236 19772580 21420295 25704354 34272472 39545160 42840590 51408708 64260885 85681180 102817416 128521770 171362360 257043540 514087080