Search a number
-
+
20603340 = 22325293947
BaseRepresentation
bin100111010011…
…0000111001100
31102202202110200
41032212013030
520233301330
62013333500
7340061022
oct116460714
942682420
1020603340
11106a265a
126a97290
134364c34
142a44712
151c1ea60
hex13a61cc

20603340 has 72 divisors (see below), whose sum is σ = 64668240. Its totient is φ = 5303424.

The previous prime is 20603327. The next prime is 20603351. The reversal of 20603340 is 4330602.

20603340 is a `hidden beast` number, since 20 + 603 + 3 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3247 + ... + 7193.

It is an arithmetic number, because the mean of its divisors is an integer number (898170).

Almost surely, 220603340 is an apocalyptic number.

20603340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20603340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32334120).

20603340 is an abundant number, since it is smaller than the sum of its proper divisors (44064900).

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

20603340 is a wasteful number, since it uses less digits than its factorization.

20603340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3991 (or 3986 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 20603340 is about 4539.0902172131. The cubic root of 20603340 is about 274.1442932606.

Adding to 20603340 its reverse (4330602), we get a palindrome (24933942).

The spelling of 20603340 in words is "twenty million, six hundred three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 3947 5220 7894 11841 15788 19735 23682 35523 39470 47364 59205 71046 78940 114463 118410 142092 177615 228926 236820 343389 355230 457852 572315 686778 710460 1030167 1144630 1373556 1716945 2060334 2289260 3433890 4120668 5150835 6867780 10301670 20603340