Search a number
-
+
985946140 = 225437431543
BaseRepresentation
bin111010110001000…
…101100000011100
32112201020020211201
4322301011200130
54004400234030
6241500125244
733301255354
oct7261054034
92481206751
10985946140
114665a4a23
12236236824
131293593aa
1494d2db64
155b8572ca
hex3ac4581c

985946140 has 48 divisors (see below), whose sum is σ = 2122864128. Its totient is φ = 384439104.

The previous prime is 985946107. The next prime is 985946153. The reversal of 985946140 is 41649589.

It is a happy number.

It is a congruent number.

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, 638209 + ... + 639751.

It is an arithmetic number, because the mean of its divisors is an integer number (44226336).

Almost surely, 2985946140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 985946140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061432064).

985946140 is an abundant number, since it is smaller than the sum of its proper divisors (1136917988).

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

985946140 is a wasteful number, since it uses less digits than its factorization.

985946140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The square root of 985946140 is about 31399.7792985874. The cubic root of 985946140 is about 995.2932613682.

The spelling of 985946140 in words is "nine hundred eighty-five million, nine hundred forty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 743 860 1486 1543 2972 3086 3715 6172 7430 7715 14860 15430 30860 31949 63898 66349 127796 132698 159745 265396 319490 331745 638980 663490 1146449 1326980 2292898 4585796 5732245 11464490 22928980 49297307 98594614 197189228 246486535 492973070 985946140