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681414480 = 243251949811
BaseRepresentation
bin101000100111011…
…000111101010000
31202111012102221100
4220213120331100
52343420230410
6151341024400
722612633065
oct5047307520
91674172840
10681414480
1131a70586a
12170255100
13ab232a46
14666dac6c
153ec508c0
hex289d8f50

681414480 has 120 divisors (see below), whose sum is σ = 2408908320. Its totient is φ = 172143360.

The previous prime is 681414467. The next prime is 681414509. The reversal of 681414480 is 84414186.

It is a tau number, because it is divible by the number of its divisors (120).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11226 + ... + 38585.

It is an arithmetic number, because the mean of its divisors is an integer number (20074236).

Almost surely, 2681414480 is an apocalyptic number.

681414480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

681414480 is an abundant number, since it is smaller than the sum of its proper divisors (1727493840).

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

681414480 is a wasteful number, since it uses less digits than its factorization.

681414480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49849 (or 49840 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 681414480 is about 26103.9169474621. The cubic root of 681414480 is about 879.9752403502.

The spelling of 681414480 in words is "six hundred eighty-one million, four hundred fourteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1520 1710 2280 2736 3420 4560 6840 13680 49811 99622 149433 199244 249055 298866 398488 448299 498110 597732 747165 796976 896598 946409 996220 1195464 1494330 1793196 1892818 1992440 2241495 2390928 2839227 2988660 3586392 3785636 3984880 4482990 4732045 5678454 5977320 7172784 7571272 8517681 8965980 9464090 11356908 11954640 14196135 15142544 17035362 17931960 18928180 22713816 28392270 34070724 35863920 37856360 42588405 45427632 56784540 68141448 75712720 85176810 113569080 136282896 170353620 227138160 340707240 681414480