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930020 = 225721373
BaseRepresentation
bin11100011000011100100
31202020202012
43203003210
5214230040
631533352
710622300
oct3430344
91666665
10930020
11585813
1238a258
13267410
141a2d00
15135865
hexe30e4

930020 has 72 divisors (see below), whose sum is σ = 2480184. Its totient is φ = 290304.

The previous prime is 930011. The next prime is 930043. The reversal of 930020 is 20039.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 23716 + 906304 = 154^2 + 952^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 929977 and 930004.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 930020.

It is an unprimeable number.

930020 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 23 ways as a sum of consecutive naturals, for example, 12704 + ... + 12776.

It is an arithmetic number, because the mean of its divisors is an integer number (34447).

2930020 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 930020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240092).

930020 is an abundant number, since it is smaller than the sum of its proper divisors (1550164).

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

930020 is a wasteful number, since it uses less digits than its factorization.

930020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 930020 is about 964.3754455605. The cubic root of 930020 is about 97.6107004751.

930020 divided by its sum of digits (14) gives a triangular number (66430 = T364).

Adding to 930020 its reverse (20039), we get a palindrome (950059).

The spelling of 930020 in words is "nine hundred thirty thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 73 91 98 130 140 146 182 196 245 260 292 364 365 455 490 511 637 730 910 949 980 1022 1274 1460 1820 1898 2044 2548 2555 3185 3577 3796 4745 5110 6370 6643 7154 9490 10220 12740 13286 14308 17885 18980 26572 33215 35770 46501 66430 71540 93002 132860 186004 232505 465010 930020