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514918680 = 233531971427
BaseRepresentation
bin11110101100010…
…000100100011000
31022212220120122020
4132230100210120
52023304344210
6123032254440
715521510433
oct3654204430
91285816566
10514918680
11244727031
12124541420
13828a9713
144c55a81a
1530313770
hex1eb10918

514918680 has 128 divisors (see below), whose sum is σ = 1612154880. Its totient is φ = 131420160.

The previous prime is 514918673. The next prime is 514918697. The reversal of 514918680 is 86819415.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360127 + ... + 361553.

It is an arithmetic number, because the mean of its divisors is an integer number (12594960).

Almost surely, 2514918680 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 514918680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806077440).

514918680 is an abundant number, since it is smaller than the sum of its proper divisors (1097236200).

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

514918680 is a wasteful number, since it uses less digits than its factorization.

514918680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 514918680 is about 22691.8196714146. The cubic root of 514918680 is about 801.5172663925.

The spelling of 514918680 in words is "five hundred fourteen million, nine hundred eighteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 97 120 124 155 186 194 248 291 310 372 388 465 485 582 620 744 776 930 970 1164 1240 1427 1455 1860 1940 2328 2854 2910 3007 3720 3880 4281 5708 5820 6014 7135 8562 9021 11416 11640 12028 14270 15035 17124 18042 21405 24056 28540 30070 34248 36084 42810 44237 45105 57080 60140 72168 85620 88474 90210 120280 132711 138419 171240 176948 180420 221185 265422 276838 353896 360840 415257 442370 530844 553676 663555 692095 830514 884740 1061688 1107352 1327110 1384190 1661028 1769480 2076285 2654220 2768380 3322056 4152570 4290989 5308440 5536760 8305140 8581978 12872967 16610280 17163956 21454945 25745934 34327912 42909890 51491868 64364835 85819780 102983736 128729670 171639560 257459340 514918680