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920948 = 227311061
BaseRepresentation
bin11100000110101110100
31201210022012
43200311310
5213432243
631423352
710553660
oct3406564
91653265
10920948
11579a16
12384b58
13263252
1419d8a0
15132d18
hexe0d74

920948 has 24 divisors (see below), whose sum is σ = 1903104. Its totient is φ = 381600.

The previous prime is 920947. The next prime is 920951. The reversal of 920948 is 849029.

920948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 920948.

It is not an unprimeable number, because it can be changed into a prime (920947) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 338 + ... + 1398.

It is an arithmetic number, because the mean of its divisors is an integer number (79296).

2920948 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 920948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951552).

920948 is an abundant number, since it is smaller than the sum of its proper divisors (982156).

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

920948 is a wasteful number, since it uses less digits than its factorization.

920948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 920948 is about 959.6603565846. The cubic root of 920948 is about 97.2922774660.

The spelling of 920948 in words is "nine hundred twenty thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 868 1061 2122 4244 7427 14854 29708 32891 65782 131564 230237 460474 920948