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281363140 = 225232292671
BaseRepresentation
bin10000110001010…
…100001011000100
3201121102201200001
4100301110023010
51034012110030
643530331044
76654355462
oct2061241304
9647381601
10281363140
11134905323
127a289a84
13463a3c86
1429521832
1519a7bcca
hex10c542c4

281363140 has 48 divisors (see below), whose sum is σ = 619476480. Its totient is φ = 107141760.

The previous prime is 281363123. The next prime is 281363179. The reversal of 281363140 is 41363182.

It is a junction number, because it is equal to n+sod(n) for n = 281363099 and 281363108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104005 + ... + 106675.

It is an arithmetic number, because the mean of its divisors is an integer number (12905760).

Almost surely, 2281363140 is an apocalyptic number.

281363140 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 281363140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309738240).

281363140 is an abundant number, since it is smaller than the sum of its proper divisors (338113340).

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

281363140 is a wasteful number, since it uses less digits than its factorization.

281363140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 281363140 is about 16773.8826751590. The cubic root of 281363140 is about 655.2731917909.

The spelling of 281363140 in words is "two hundred eighty-one million, three hundred sixty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 229 230 458 460 916 1145 2290 2671 4580 5267 5342 10534 10684 13355 21068 26335 26710 52670 53420 61433 105340 122866 245732 307165 611659 614330 1223318 1228660 2446636 3058295 6116590 12233180 14068157 28136314 56272628 70340785 140681570 281363140