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281130480 = 24335157829
BaseRepresentation
bin10000110000011…
…011010111110000
3201120222220112000
4100300123113300
51033432133410
643521334000
76652366251
oct2060332760
9646886460
10281130480
11134766544
127a197300
13463220c7
14294a0b28
1519a32dc0
hex10c1b5f0

281130480 has 160 divisors (see below), whose sum is σ = 975681600. Its totient is φ = 74400768.

The previous prime is 281130469. The next prime is 281130491. The reversal of 281130480 is 84031182.

281130480 is a `hidden beast` number, since 281 + 1 + 304 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (281130469) and next prime (281130491).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 338706 + ... + 339534.

It is an arithmetic number, because the mean of its divisors is an integer number (6098010).

Almost surely, 2281130480 is an apocalyptic number.

281130480 is a gapful number since it is divisible by the number (20) 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 281130480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487840800).

281130480 is an abundant number, since it is smaller than the sum of its proper divisors (694551120).

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

281130480 is a wasteful number, since it uses less digits than its factorization.

281130480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 281130480 is about 16766.9460546636. The cubic root of 281130480 is about 655.0925262138.

The spelling of 281130480 in words is "two hundred eighty-one million, one hundred thirty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 157 180 216 240 270 314 360 432 471 540 628 720 785 829 942 1080 1256 1413 1570 1658 1884 2160 2355 2487 2512 2826 3140 3316 3768 4145 4239 4710 4974 5652 6280 6632 7065 7461 7536 8290 8478 9420 9948 11304 12435 12560 13264 14130 14922 16580 16956 18840 19896 21195 22383 22608 24870 28260 29844 33160 33912 37305 37680 39792 42390 44766 49740 56520 59688 66320 67824 74610 84780 89532 99480 111915 113040 119376 130153 149220 169560 179064 198960 223830 260306 298440 339120 358128 390459 447660 520612 596880 650765 780918 895320 1041224 1171377 1301530 1561836 1790640 1952295 2082448 2342754 2603060 3123672 3514131 3904590 4685508 5206120 5856885 6247344 7028262 7809180 9371016 10412240 11713770 14056524 15618360 17570655 18742032 23427540 28113048 31236720 35141310 46855080 56226096 70282620 93710160 140565240 281130480