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281283420 = 223511676361
BaseRepresentation
bin10000110001000…
…000101101011100
3201121021200022110
4100301000231130
51034002032140
643524514020
76653604165
oct2061005534
9647250273
10281283420
11134860440
127a24b910
13463768c2
142950076c
1519a63380
hex10c40b5c

281283420 has 96 divisors (see below), whose sum is σ = 872153856. Its totient is φ = 67161600.

The previous prime is 281283407. The next prime is 281283437. The reversal of 281283420 is 24382182.

281283420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41040 + ... + 47400.

It is an arithmetic number, because the mean of its divisors is an integer number (9084936).

Almost surely, 2281283420 is an apocalyptic number.

281283420 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 281283420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436076928).

281283420 is an abundant number, since it is smaller than the sum of its proper divisors (590870436).

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

281283420 is a wasteful number, since it uses less digits than its factorization.

281283420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6451 (or 6449 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 281283420 is about 16771.5061935415. The cubic root of 281283420 is about 655.2112986881.

The spelling of 281283420 in words is "two hundred eighty-one million, two hundred eighty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 67 110 132 134 165 201 220 268 330 335 402 660 670 737 804 1005 1340 1474 2010 2211 2948 3685 4020 4422 6361 7370 8844 11055 12722 14740 19083 22110 25444 31805 38166 44220 63610 69971 76332 95415 127220 139942 190830 209913 279884 349855 381660 419826 426187 699710 839652 852374 1049565 1278561 1399420 1704748 2099130 2130935 2557122 4198260 4261870 4688057 5114244 6392805 8523740 9376114 12785610 14064171 18752228 23440285 25571220 28128342 46880570 56256684 70320855 93761140 140641710 281283420