Search a number
-
+
280673040 = 24354327197
BaseRepresentation
bin10000101110101…
…011101100010000
3201120010200000210
4100232223230100
51033323014130
643503444120
76645452514
oct2056535420
9646120023
10280673040
1113448389a
1279bb6640
13461c1b2b
14293c2144
15199925b0
hex10babb10

280673040 has 80 divisors (see below), whose sum is σ = 890353728. Its totient is φ = 73102848.

The previous prime is 280673033. The next prime is 280673087. The reversal of 280673040 is 40376082.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 280672989 and 280673007.

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 15 ways as a sum of consecutive naturals, for example, 3279 + ... + 23918.

Almost surely, 2280673040 is an apocalyptic number.

280673040 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 280673040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445176864).

280673040 is an abundant number, since it is smaller than the sum of its proper divisors (609680688).

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

280673040 is a wasteful number, since it uses less digits than its factorization.

280673040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27256 (or 27250 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 280673040 is about 16753.2993765407. The cubic root of 280673040 is about 654.7370231922.

The spelling of 280673040 in words is "two hundred eighty million, six hundred seventy-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 5160 10320 27197 54394 81591 108788 135985 163182 217576 271970 326364 407955 435152 543940 652728 815910 1087880 1169471 1305456 1631820 2175760 2338942 3263640 3508413 4677884 5847355 6527280 7016826 9355768 11694710 14033652 17542065 18711536 23389420 28067304 35084130 46778840 56134608 70168260 93557680 140336520 280673040