Search a number
-
+
20694440 = 23513172341
BaseRepresentation
bin100111011110…
…0010110101000
31102221101102202
41032330112220
520244210230
62015315332
7340620434
oct116742650
942841382
1020694440
1110755048
126b1bb48
134397540
142a699c4
151c3ba45
hex13bc5a8

20694440 has 64 divisors (see below), whose sum is σ = 53116560. Its totient is φ = 7188480.

The previous prime is 20694437. The next prime is 20694449. The reversal of 20694440 is 4449602.

It can be written as a sum of positive squares in 8 ways, for example, as 9498724 + 11195716 = 3082^2 + 3346^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (20694449) by changing a digit.

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, 7670 + ... + 10010.

Almost surely, 220694440 is an apocalyptic number.

20694440 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 20694440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26558280).

20694440 is an abundant number, since it is smaller than the sum of its proper divisors (32422120).

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

20694440 is a wasteful number, since it uses less digits than its factorization.

20694440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 20694440 is about 4549.1141994898. The cubic root of 20694440 is about 274.5477525381.

The spelling of 20694440 in words is "twenty million, six hundred ninety-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1105 1768 2210 2341 4420 4682 8840 9364 11705 18728 23410 30433 39797 46820 60866 79594 93640 121732 152165 159188 198985 243464 304330 318376 397970 517361 608660 795940 1034722 1217320 1591880 2069444 2586805 4138888 5173610 10347220 20694440