Search a number
-
+
985000072 = 23741429007
BaseRepresentation
bin111010101101011…
…110100010001000
32112122110012002011
4322231132202020
54004130000242
6241423545304
733260235220
oct7255364210
92478405064
10985000072
11466009151
12235a5b234
131290b78a4
1494b65080
155b71bd17
hex3ab5e888

985000072 has 32 divisors (see below), whose sum is σ = 2162200320. Its totient is φ = 411845760.

The previous prime is 985000069. The next prime is 985000087. The reversal of 985000072 is 270000589.

985000072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 984999998 and 985000043.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212208 + ... + 216799.

It is an arithmetic number, because the mean of its divisors is an integer number (67568760).

Almost surely, 2985000072 is an apocalyptic number.

It is an amenable number.

985000072 is an abundant number, since it is smaller than the sum of its proper divisors (1177200248).

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

985000072 is a wasteful number, since it uses less digits than its factorization.

985000072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429061 (or 429057 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 985000072 is about 31384.7108000058. The cubic root of 985000072 is about 994.9748138032.

The spelling of 985000072 in words is "nine hundred eighty-five million, seventy-two", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 574 1148 2296 429007 858014 1716028 3003049 3432056 6006098 12012196 17589287 24024392 35178574 70357148 123125009 140714296 246250018 492500036 985000072