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280140872 = 231143101733
BaseRepresentation
bin10000101100101…
…001110001001000
3201112010122000212
4100230221301020
51033204001442
643444220252
76641105144
oct2054516110
9645118025
10280140872
1113414aa90
127999a688
134606683b
14292c4224
15198d9a82
hex10b29c48

280140872 has 64 divisors (see below), whose sum is σ = 592954560. Its totient is φ = 122976000.

The previous prime is 280140871. The next prime is 280140953. The reversal of 280140872 is 278041082.

280140872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (280140871) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 381818 + ... + 382550.

It is an arithmetic number, because the mean of its divisors is an integer number (9264915).

Almost surely, 2280140872 is an apocalyptic number.

280140872 is a gapful number since it is divisible by the number (22) 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 280140872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296477280).

280140872 is an abundant number, since it is smaller than the sum of its proper divisors (312813688).

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

280140872 is a wasteful number, since it uses less digits than its factorization.

280140872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 280140872 is about 16737.4093574842. The cubic root of 280140872 is about 654.3229583225.

The spelling of 280140872 in words is "two hundred eighty million, one hundred forty thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 22 43 44 86 88 101 172 202 344 404 473 733 808 946 1111 1466 1892 2222 2932 3784 4343 4444 5864 8063 8686 8888 16126 17372 31519 32252 34744 47773 63038 64504 74033 95546 126076 148066 191092 252152 296132 346709 382184 592264 693418 814363 1386836 1628726 2773672 3183419 3257452 6366838 6514904 12733676 25467352 35017609 70035218 140070436 280140872