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920052 = 223371217
BaseRepresentation
bin11100000100111110100
31201202002000
43200213310
5213420202
631415300
710551240
oct3404764
91652060
10920052
11579281
12384530
13262a13
1419d420
1513291c
hexe09f4

920052 has 48 divisors (see below), whose sum is σ = 2728320. Its totient is φ = 262656.

The previous prime is 920039. The next prime is 920053. The reversal of 920052 is 250029.

920052 is digitally balanced in base 2, 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920053) by changing a digit.

920052 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148 + ... + 1364.

It is an arithmetic number, because the mean of its divisors is an integer number (56840).

2920052 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 920052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364160).

920052 is an abundant number, since it is smaller than the sum of its proper divisors (1808268).

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

920052 is a wasteful number, since it uses less digits than its factorization.

920052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 920052 is about 959.1934111534. The cubic root of 920052 is about 97.2607150011.

The spelling of 920052 in words is "nine hundred twenty thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1217 2434 3651 4868 7302 8519 10953 14604 17038 21906 25557 32859 34076 43812 51114 65718 76671 102228 131436 153342 230013 306684 460026 920052