Search a number
-
+
20752950 = 2352314463
BaseRepresentation
bin100111100101…
…0101000110110
31110001100200210
41033022220312
520303043300
62020450250
7341253141
oct117125066
943040623
1020752950
1110794aa9
126b49986
1343b806a
142a83058
151c4e050
hex13caa36

20752950 has 48 divisors (see below), whose sum is σ = 53139456. Its totient is φ = 5354400.

The previous prime is 20752939. The next prime is 20752957. The reversal of 20752950 is 5925702.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20752957) 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 23 ways as a sum of consecutive naturals, for example, 2419 + ... + 6881.

It is an arithmetic number, because the mean of its divisors is an integer number (1107072).

Almost surely, 220752950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20752950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26569728).

20752950 is an abundant number, since it is smaller than the sum of its proper divisors (32386506).

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

20752950 is a wasteful number, since it uses less digits than its factorization.

20752950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4509 (or 4504 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 20752950 is about 4555.5405826312. The cubic root of 20752950 is about 274.8062547176.

The spelling of 20752950 in words is "twenty million, seven hundred fifty-two thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 150 155 186 310 465 775 930 1550 2325 4463 4650 8926 13389 22315 26778 44630 66945 111575 133890 138353 223150 276706 334725 415059 669450 691765 830118 1383530 2075295 3458825 4150590 6917650 10376475 20752950