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681407280 = 243253130529
BaseRepresentation
bin101000100111010…
…111001100110000
31202111012002001200
4220213113030300
52343420013110
6151340531200
722612603101
oct5047271460
91674162050
10681407280
1131a700414
12170250b00
13ab22c698
14666d83a8
153ec4d6c0
hex289d7330

681407280 has 120 divisors (see below), whose sum is σ = 2362289280. Its totient is φ = 175841280.

The previous prime is 681407267. The next prime is 681407299. The reversal of 681407280 is 82704186.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7056 + ... + 37584.

It is an arithmetic number, because the mean of its divisors is an integer number (19685744).

Almost surely, 2681407280 is an apocalyptic number.

681407280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681407280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181144640).

681407280 is an abundant number, since it is smaller than the sum of its proper divisors (1680882000).

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

681407280 is a wasteful number, since it uses less digits than its factorization.

681407280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30579 (or 30570 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 681407280 is about 26103.7790367602. The cubic root of 681407280 is about 879.9721409913.

The spelling of 681407280 in words is "six hundred eighty-one million, four hundred seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1395 1488 1860 2232 2480 2790 3720 4464 5580 7440 11160 22320 30529 61058 91587 122116 152645 183174 244232 274761 305290 366348 457935 488464 549522 610580 732696 915870 946399 1099044 1221160 1373805 1465392 1831740 1892798 2198088 2442320 2747610 2839197 3663480 3785596 4396176 4731995 5495220 5678394 7326960 7571192 8517591 9463990 10990440 11356788 14195985 15142384 17035182 18927980 21980880 22713576 28391970 34070364 37855960 42587955 45427152 56783940 68140728 75711920 85175910 113567880 136281456 170351820 227135760 340703640 681407280