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280828840 = 23583251337
BaseRepresentation
bin10000101111010…
…001101110101000
3201120102120202011
4100233101232220
51033343010330
643511045304
76650001655
oct2057215650
9646376664
10280828840
1113457a956
127a070834
1346247a16
1429422c2c
15199c382a
hex10bd1ba8

280828840 has 64 divisors (see below), whose sum is σ = 643930560. Its totient is φ = 110208000.

The previous prime is 280828777. The next prime is 280828841. The reversal of 280828840 is 48828082.

It is a happy number.

280828840 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 (40).

It is a junction number, because it is equal to n+sod(n) for n = 280828793 and 280828802.

It is not an unprimeable number, because it can be changed into a prime (280828841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 833152 + ... + 833488.

It is an arithmetic number, because the mean of its divisors is an integer number (10061415).

Almost surely, 2280828840 is an apocalyptic number.

280828840 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 280828840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321965280).

280828840 is an abundant number, since it is smaller than the sum of its proper divisors (363101720).

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

280828840 is a wasteful number, since it uses less digits than its factorization.

280828840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 280828840 is about 16757.9485618019. The cubic root of 280828840 is about 654.8581477093.

The spelling of 280828840 in words is "two hundred eighty million, eight hundred twenty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 83 166 251 332 337 415 502 664 674 830 1004 1255 1348 1660 1685 2008 2510 2696 3320 3370 5020 6740 10040 13480 20833 27971 41666 55942 83332 84587 104165 111884 139855 166664 169174 208330 223768 279710 338348 416660 422935 559420 676696 833320 845870 1118840 1691740 3383480 7020721 14041442 28082884 35103605 56165768 70207210 140414420 280828840