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280487142 = 232132934091
BaseRepresentation
bin10000101101111…
…110010011100110
3201112210020000200
4100231332103212
51033301042032
643455451330
76644046525
oct2055762346
9645706020
10280487142
11134367161
1279b26b46
1346158330
14293744bc
151995747c
hex10b7e4e6

280487142 has 48 divisors (see below), whose sum is σ = 656864208. Its totient is φ = 85988160.

The previous prime is 280487111. The next prime is 280487143. The reversal of 280487142 is 241784082.

It is a junction number, because it is equal to n+sod(n) for n = 280487097 and 280487106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (280487143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66517 + ... + 70607.

It is an arithmetic number, because the mean of its divisors is an integer number (13684671).

Almost surely, 2280487142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 280487142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328432104).

280487142 is an abundant number, since it is smaller than the sum of its proper divisors (376377066).

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

280487142 is a wasteful number, since it uses less digits than its factorization.

280487142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4405 (or 4402 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 280487142 is about 16747.7503563912. The cubic root of 280487142 is about 654.5924407453.

The spelling of 280487142 in words is "two hundred eighty million, four hundred eighty-seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 293 586 879 1758 2637 3809 4091 5274 7618 8182 11427 12273 22854 24546 34281 36819 53183 68562 73638 106366 159549 319098 478647 957294 1198663 2397326 3595989 7191978 10787967 15582619 21575934 31165238 46747857 93495714 140243571 280487142